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SPIRES-BOOKS: FIND KEYWORD PHYSICS IN LITERATURE *END*INIT* use /tmp/qspiwww.webspi1/14354.183 QRY 131.225.70.96 . find keyword physics in literature ( in books using www Cover
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Call number:9783319486437:ONLINE Show nearby items on shelf
Title:Longitudinally Polarised Terahertz Radiation for Relativistic Particle Acceleration
Author(s): Matthew. J Cliffe
Date:2017
Size:1 online resource (XIII, 150 p. 86 illus., 67 illus. in color p.)
Contents:Introduction -- Literature Review -- Background Theory -- Experimental Apparatus -- Radiation Propagation Simulation -- ALICE Energy Modulation Induced by Terahertz Reaction (AEMITR) -- Generation of Longitudinally Polarised Terahertz
Radiation with a Photoconductive Antenna -- Generation of Longitudinally Polarised Terahertz Radiation in Non-Linear Optical Crystals -- Conclusions and Future Work
ISBN:9783319486437
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Particle acceleration , Physics , Particle Acceleration and Detection, Beam Physics , Applied and Technical Physics
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Call number:9783319394459:ONLINE Show nearby items on shelf
Title:Maths Meets Myths: Quantitative Approaches to Ancient Narratives
Author(s):
Date:2017
Size:1 online resource (X, 228 p. 64 illus., 47 illus. in color p.)
Contents:Preface -- Foreword -- Introduction -- Cognitive and Network Constraints in Real Life and Literature -- A Networks Approach to Mythological Epics -- Medieval Historical, Hagiographical and Biographical Networks -- Peopling of the New
World from data on distributions of folklore motifs -- Phylogenetics Meets Folklore: Bioinformatic Approaches to the Study of International Folktales -- Analyses of a VirtualWorld -- Ghostscope: Conceptual Mapping of Supernatural
Phenomena in a Large Folklore Corpus -- Complex Networks of Words in Fables -- Analysing and Restoring the Chronology of the Irish Annals -- Mapping Literate Networks in Early Medieval Ireland Quantitative Realities, Social
Mythologies? -- How quantitative methods can shed light on a problem of comparative mythology: The myth of the struggle for supremacy between two groups of deities reconsidered
ISBN:9783319394459
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , History , Medieval philosophy , Historical linguistics , Social sciences , Physics , Applications of Graph Theory and Complex Networks , History, general , Methodology of the Social Sciences , Historical Linguistics , Medieval Philosophy
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Call number:SPRINGER-2016-9783319198781:ONLINE Show nearby items on shelf
Title:The Starlight Night The Sky in the Writings of Shakespeare, Tennyson, and Hopkins
Author(s): David H Levy
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (21 p.)
Note:10.1007/978-3-319-19878-1
Contents:Preface -- Acknowledgments -- Dedication -- Introduction -- Part I: The Sky in Early Modern English Literature -- Chapter One: The Stella Novae of 1572 and 1604 -- Chapter Two: Comets and Meteors: A Rich Harvest from 1573 to 1607 --
Chapter Three: These Late Eclipses -- Chapter Four: Of Signs and Seasons -- Chapter Five: The Telescope in Early Modern English Literature -- Part II: The Sky in the Poetry of Tennyson and Hopkins -- Chapter Six: Bridging the
Centuries: Astronomical Discoveries Between the Eras of Shakespeare and of Tennyson and Hopkins -- Chapter Seven: Leading Up to the Victorian Age: Moving Toward Hopkins and Tennyson -- Chapter Eight: Arise and Fly -- Chapter Nine:
Scarce Worth Discovery -- Chapter Ten: Hopkins and the Starlight Night -- Appendix A: A Selection of References to the Sky in Writings from 1572 to 1620 -- Appendix B: A selection of references to the sky in the writings of Hopkins --
Works Cited
ISBN:9783319198781
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Astrophysics and Space Science Library: 419
Keywords: Physics , History , Philology , Linguistics , Observations, Astronomical , Astronomy , Physics , Astronomy, Observations and Techniques , History, general , Language and Literature
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Call number:SPRINGER-2014-9783642453021:ONLINE Show nearby items on shelf
Title:What are the Stars? [electronic resource]
Author(s): Ganesan Srinivasan
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:The outstanding question in astronomy at the turn of the twentieth century was: What are the stars and why are they as they are? In this volume, the story of how the answer to this fundamental question was unravelled is narratedin an informal style, with emphasis on the underlying physics. Although the foundations of astrophysics were laid down by 1870, and the edifice was sufficiently built up by 1920, the definitive proof of many of the prescientconjectures made in the 1920s and 1930s came to be es tablished less than ten years ago. This book discusses these recent developments in the context of discussing the nature of the stars, their stability and the source of the energythey radiate. Reading this book will get young students excited about the pr esently unfolding revolution in astronomy and the challenges that await them in the world of physics, engineering and technology. General readers will alsofind the book appealing for its highly accessible narrative of the physics of stars. ... The readers will find Dr Srinivasan, an internationally acclaimed leader in this enterprise, to be a clear and enthusiastic guide to thewonders and mysteries of the cosmos. Lord Martin Rees Astronomer Royal Master of Trinity College, Cambridge I know of no comparabl e book in the present-day literature that so successfully conveys theexcitement of the development of ideas pertaining to the physics of stars, including the newest discoveries, and at the same time explains the fundamentals so well. E. P. J. van den Heuv el Professor of Astrophysics Winner of theSpinoza and Descartes Prizes University of Amsterdam, The Netherlands
Contents:The Present Revolution in Astronomy: An Overview
What Are the Stars?
Stars as Globes of Gas
Eddingtons Theory of the Stars
Why Are the Stars as They Are?
Energy Generation in the Stars
Sounds of the Sun
The Smoking Gun is Finally Found
ISBN:9783642453021
Series:eBooks
Series:SpringerLink
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
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Call number:SPRINGER-2014-9783319070490:ONLINE Show nearby items on shelf
Title:Quantum Theory of Many-Body Systems [electronic resource] : Techniques and Applications
Author(s): Alexandre Zagoskin
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This text presents a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, uses the mathematical formalism of quasiparticles and Greensfunctions. In particular, it covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory and the Matsubara, Keldysh and Nambu-Gor'kov formalism, as well as anintroduction to Feynman path integrals. This new ed ition contains an introduction to the methods of theory of one-dimensional systems (bosonization and conformal field theory) and their applications to many-body problems. Intendedfor graduate students in physics and related fields, the aim is not to be ex haustive, but to present enough detail to enable the student to follow the current research literature, or to apply the techniques to new problems. Many of theexamples are drawn from mesoscopic physics, which deals with systems small enough that quantum c oherence is maintained throughout their volume, and which therefore provides an ideal testing ground for many-body theories
Contents:Basic Concepts
Greens Functions at Zero Temperature
More Greens Functions, Equilibrium and Otherwise and Their Applications
Methods of Many
Body Theory in Superconductivity. Many
Body Theory in One Dimension
A: Friedel Oscillations
B: Landauer Formalism for Hybrid Normal
Superconducting Structures
ISBN:9783319070490
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2014-9783319067582:ONLINE Show nearby items on shelf
Title:Nonequilibrium and Irreversibility [electronic resource]
Author(s): Giovanni Gallavotti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states of particles or of fluids (understood asprobability distributi ons on microscopic configurations or on the fields describing continua) have received important new ideas and data from numerical simulations and reviews are needed. The starting point is to find out which timeinvariant distributions come into play in phy sics. A special feature of this book is the historical approach. To identify the problems the author analyzes the papers of the founding fathers Boltzmann, Clausius and Maxwell includingtranslations of the relevant (parts of ) historical documents. He als o establishes a close link between treatment of irreversible phenomena in statistical mechanics and the theory of chaotic systems at and beyond the onset ofturbulence as developed by Sinai, Ruelle, Bowen (SRB) and others: the author gives arguments intend ing to support strongly the viewpoint that stationary states in or out of equilibrium can be described in a unified way. In this book itis the chaotic hypothesis, which can be seen as an extension of the classical ergodic hypothesis to non equilibrium phe nomena, that plays the central role. It is shown that SRB - often considered as a kind of mathematicalplayground with no impact on physical reality - has indeed a sound physical interpretation an observation which to many might be new and a very welcome i nsight. Following this, many consequences of the chaotic hypothesis are analyzedin chapter 3 - 4, and in chapter 5 a few applications are proposed. Chapter 6 is historical: carefully analyzing the old literature on the subject, especially ergodic theory a nd its relevance for statistical mechanics an approachwhich gives the book a very personal touch. The book contains an extensive coverage of current research (partly from the authors and his coautho
Contents:Equilibrium
Stationary Nonequilibrium
Discrete phase space
Fluctuations
Applications
Historical comments
Appendices
References
Index
ISBN:9783319067582
Series:eBooks
Series:SpringerLink
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics
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Call number:SPRINGER-2014-9783319045641:ONLINE Show nearby items on shelf
Title:Towards the Mathematics of Quantum Field Theory [electronic resource]
Author(s): Frdric Paugam
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of themathematical objects in play. This should in turn promote interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, even if the mathematical one is the primarytarget. This reference work provides a coheren t and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The firstpart of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory ofnon-linear partial differential equations, with applications to general gauge theories. The s econd part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the thirdpart provides an introduction to quantum field theory, presents various renormalization methods, and discusses the q uantization of factorization algebras. The book is primarily intended for pure mathematicians (and in particulargraduate students) who would like to learn about the mathematics of quantum field theory
Contents:Introduction
Mathematical Preliminaries
Classical Trajectories and Fields
Quantum Trajectories and Fields
Appendices
ISBN:9783319045641
Series:eBooks
Series:SpringerLink
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v59
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Algebraic topology
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Call number:SPRINGER-2014-9783319007984:ONLINE Show nearby items on shelf
Title:Quantum Mechanics for Pedestrians 1: Fundamentals [electronic resource]
Author(s): Jochen Pade
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book provides an introduction into the fundamentals of non-relativistic quantum mechanics. In Part 1, the essential principles are developed. Applications and extensions of the formalism can be found in Part 2. The bookincludes not only material that is presented in traditional textbooks on quantum mechanics, but also discusses in detail current issues such as interaction-free quantum measurements, neutrino oscillations, various topics in the fieldof quantum information as well as fundamental pr oblems and epistemological questions, such as the measurement problem, entanglement, Bell's inequality, decoherence, and the realism debate. A chapter on current interpretations ofquantum mechanics concludes the book. To develop quickly and clearly the ma in principles of quantum mechanics and its mathematical formulation, there is a systematic change between wave mechanics and algebraic representation in thefirst chapters. The required mathematical tools are introduced step by step. Moreover, the appendix collects compactly the most important mathematical toolsthat supplementary literature can be largely dispensed. In addition, theappendix contains advanced topics, such as Quantum- Zeno effect, time-delay experiments, Lenz vector and the Shor algorithm. A bout 250 exercises, most of them with solutions, help to deepen the understanding of the topics. Targetgroups of the book arestudent teachersand all students of physics, as minor or major, looking for a reasonably easy and modern introduction into quantum mechanics
Contents:Towards the Schrdinger Equation
Polarization
More on the Schrdinger Equation
Complex Vector Spaces and Quantum Mechanics
Two Simple Solutions of the Schrdinger Equation
Interaction
Free Measurement
Position Probability
Neutrino Oscillations
Expectation Value, Mean Value, Measured Value
Stopover
Quantum Cryptography
Abstract Notation
Continuous Spectra
Operators
Postulates of Quantum Mechanics
ISBN:9783319007984
Series:eBooks
Series:SpringerLink
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Mathematical physics
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Call number:SPRINGER-2014-9783319000237:ONLINE Show nearby items on shelf
Title:Econophysics of Agent-Based Models [electronic resource]
Author(s): Frdric Abergel
Hideaki Aoyama
Bikas K Chakrabarti
Anirban Chakraborti
Asim Ghosh
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The primary goal of this book is to present the research findings and conclusions of physicists, economists, mathematicians and financial engineers working in the field of Econophysics who have undertaken agent-basedmodelling, comparison with empiric al studies and related investigations. Most standard economic models assume the existence of the representative agent, who is perfectly rational and applies the utility maximization principlewhen taking action. One reason for this is the desire to keep mo dels mathematically tractable: no tools are available to economists for solving non-linear models of heterogeneous adaptive agents without explicit optimization. Incontrast, multi-agent models, which originated from statistical physics considerations, all ow us to go beyond the prototype theories of traditional economics involving the representative agent. This book is based on theEconophys-Kolkata VII Workshop, at which many such modelling efforts were presented. In the book, leading researchers in their fields report on their latest work, consider recent developments and review the contemporary literature
Contents:Agent
based modeling of zapping behavior of viewers, television commercial allocation, and advertisement markets by Hiroyuki Kyan and Jun
ichi Inoue
Agent based modeling of Housing asset bubble: A simple utility function based investigation by Kausik Gangopadhyay and Kousik Guhathakurta
Urn model
based adaptive Multi
arm clinical trials: A stochastic approximation approach by Sophie Laruelle and Gilles Pags
Logistic modeling of a Religious Sect features by Marcel Ausloos
Characterizing financial crisis by means of the three states random field Ising model by Mitsuaki Murota and J
ISBN:9783319000237
Series:eBooks
Series:SpringerLink
Series:New Economic Windows, 2039-411X
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Economics , Economics, Mathematical
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Call number:SPRINGER-2014-9781493910373:ONLINE Show nearby items on shelf
Title:Implicit Functions and Solution Mappings [electronic resource] : A View from Variational Analysis
Author(s): Asen L Dontchev
R. Tyrrell Rockafellar
Date:2014
Edition:2nd ed. 2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions andSolution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. Thepurpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sectionsin almost all chapters, new exercises and examples, updated commentarie s to chapters and an enlarged index and references section. From reviews of the first edition: The book commences with a helpful context-setting preface followedby six chapters. Each chapter starts with a useful preamble and concludes with a careful and i nstructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study. I unreservedlyrecommended this book to all practitioners and graduate students interested in modern optimization theory or control th eory or to those just engaged by beautiful analysis cleanly described. (Jonathan Michael Borwein, IEEE ControlSystems Magazine, February, 2012) This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems. The book is targeted to a broad audience ofresearchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacentbranches and also by specialists in mechanics, physics, engineering, economics, and so on. (Peter Zabreiko, Zentralblatt MATH,
Contents:Introduction and equation
solving background
Solution mappings for variational problems
Set
valued analysis of solution mappings
Regularity properties through generalized derivatives
Metric regularity in infinite dimensions
Applications in numerical variational analysis
ISBN:9781493910373
Series:eBooks
Series:SpringerLink
Series:Springer Series in Operations Research and Financial Engineering, 1431-8598
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Numerical analysis , Mathematical optimization
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Call number:SPRINGER-2014-9781461478911:ONLINE Show nearby items on shelf
Title:Exploring Science Through Science Fiction [electronic resource]
Author(s): Barry B Luokkala
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:How does Einsteins description of space and time compare with Dr. Who? Can James Bond really escape from an armor-plated railroad car by cutting through the floor with a laser concealed in a wristwatch? What would it take tocreate a fully-intelligent android, such as Star Treks Commander Data? How might we discover intelligent civilizations on other planets in the galaxy? Is human teleportation possible? Will our technological society ever reach thepoint at which it becomes lawful to discriminate on the basis of genetic information, as in the movie GATTACA? Exploring Science Through Science Fiction addresses these and other interesting questions, using science fiction as aspringboard for discussing fundamental science concepts and cutting-edge scienc e research. The book is designed as a primary text for a college-level course which should appeal to students in the fine arts and humanities as well as toscience and engineering students. It includes references to original research papers, landmark scien tific publications and technical documents, as well as a broad range of science literature at a more popular level. With over 180references to specific scenes in 130 sci-fi movies and TV episodes, spanning over 100 years of cinematic history, it should be an enjoyable read for anyone with an interest in science and science fiction
Contents:Preface
1 Introduction: Discerning the Real, the Possible and the Impossible
2 What is the Nature of Space and Time? (the physics of space travel and time travel)
3 What is the Universe Made of? (matter, energy and interactions)
4 Can a Machine Become Self Aware? (the sciences of computing and cognition)
5 Are We Alone in the Universe? (the search for extraterrestrial intelligence)
6 What does it Mean to be Human? (biological sciences, biotechnology and other considerations)
7 How do We Solve Our Problems? (science, technology and society)
8 What Lies Ahead? (the future
ISBN:9781461478911
Series:eBooks
Series:SpringerLink
Series:Science and Fiction, 2197-1188
Series:Physics and Astronomy (Springer-11651)
Keywords: Life sciences , Astrophysics , Science (General) , Engineering , Materials
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Call number:SPRINGER-2013-9789400758391:ONLINE Show nearby items on shelf
Title:Statistical Physics of Nanoparticles in the Gas Phase [electronic resource]
Author(s): Klavs Hansen
Date:2013
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Thermal processes are ubiquitous and an understanding of thermal phenomena is essential for a complete description of the physics of nanoparticles, both for the purpose of modeling the dynamics of the particles and for the correctinterpretation of ex perimental data. This book has the twofold aim to present coherently the relevant results coming from the recent scientific literature and to guide the readers through the process of deriving results, enabling themto explore the limits of the mathematical approximations and test the power of the method. The book is focused on the fundamental properties of nanosystems in the gas phase. For this reason there is a strong emphasis on microcanonicalphysics. Each chapter is enrichedwith exercises and 3 Appendic es provide additional usefulmaterials
Note:Springer eBooks
Contents:The relation between classical and quantum statistics
Microcanonical temperature
Thermal properties of vibrations
Rate constants for emission of atoms, electrons and photons
The evaporative ensemble
Abundance distributions large scale features
Molecular dynamics and Monte Carlo simulations
Thermal excitation of valence electrons
He droplets
ISBN:9789400758391
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series on Atomic, Optical, and Plasma Physics, 1615-5653 : v73
Series:Physics and Astronomy (Springer-11651)
Keywords: Thermodynamics
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Call number:SPRINGER-2013-9789400754102:ONLINE Show nearby items on shelf
Title:General Relativity [electronic resource]
Author(s): Norbert Straumann
Date:2013
Edition:2nd ed. 2013
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book provides a completely revised and expanded version of the previous classic edition General Relativity and Relativistic Astrophysics. In Part I the foundations of general relativity are thoroughly developed, whilePart II is devoted to tests of general relativity and many of its applications. Binary pulsars our best laboratories for general relativity are studied in considerable detail. An introduction to gravitational lensing theory isincluded as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerrsolution, Israels proof of his uniqueness theorem, and a derivation of the b asic laws of black hole physics. Part II ends with Wittens proof of the positive energy theorem, which is presented in detail, together with the requiredtools on spin structures and spinor analysis. In Part III, all of the differential geometric tools req uired are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material hasbeen added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophys ics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standardwork for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string t heory and other fields of physics, classical as well as quantum
Note:Springer eBooks
Contents:From the Contents: Part I The General Theory of Relativity
Introduction
Physics in External Gravitational Fields
Einsteins Field Equations
Part II Applications of General Relativity
The Schwarzschild Solution and Classical Tests of General Relativity
Weak Gravitational Fields
The Post
Newtonian Approximation
White Dwarfs and Neutron Stars
Black Holes
The Positive Mass Theorem
Essentials of Friedmann
Lematre Models
Part III Differential Geometry
Differentiable Manifolds
Tangent Vectors, Vector and Tensor Fields
The Lie Derivative
Different
ISBN:9789400754102
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Astronomy
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Call number:SPRINGER-2013-9789400753457:ONLINE Show nearby items on shelf
Title:Differential Geometry and Mathematical Physics [electronic resource] : Part I. Manifolds, Lie Groups and Hamiltonian Systems
Author(s): Gerd Rudolph
Matthias Schmidt
Date:2013
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Starting from an undergraduate level, this book systematically develops the basics of Calculus on manifolds, vector bundles, vector fields and differential forms, Lie groups and Lie group actions, Linear symplecticalgebra and symplectic geometry, Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. Thesecond and third items constitute the link between abstr act calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class andcaustics. The book guides the reader from elementary differential geometry to advan ced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematicaltextbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact
Note:Springer eBooks
Contents:1 Differentiable manifolds
2 Vector bundles
3 Vector fields
4 Differential forms
5 Lie groups
6 Lie group actions
7 Linear symplectic algebra
8 Symplectic geometry
9 Hamiltonian systems
10 Symmetries
11 Integrability
12 Hamilton
Jacobi theory
References
ISBN:9789400753457
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Topological Groups , Global analysis , Global differential geometry , Mathematical physics , Mechanics
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Call number:SPRINGER-2013-9789048128730:ONLINE Show nearby items on shelf
Title:Liquid Crystalline Semiconductors [electronic resource] : Materials, properties and applications
Author(s): Richard J Bushby
Stephen M Kelly
Mary O'Neill
Date:2013
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is an exciting stage in the development of organic electronics. It is no longer an area of purely academic interest as increasingly real applications are being developed, some of which are beginning to come on-stream. Areasthat have already been commercially developed or which are under intensive development include organic light emitting diodes (for flat panel displays and solid state lighting), organic photovoltaic cells, organic thin film transistors(for smart tags and flat panel displays) an d sensors. Within the family of organic electronic materials, liquid crystals are relative newcomers. The first electronically conducting liquid crystals were reported in 1988 but already asubstantial literature has developed. The advantage of liquid crys talline semiconductors is that they have the easy processability of amorphous and polymeric semiconductors but they usually have higher charge carrier mobilities. Theirmobilities do not reach the levels seen in crystalline organics but they circumvent all of the difficult issues of controlling crystal growth and morphology. Liquid crystals self-organise, they can be aligned by fields and surfaceforces and, because of their fluid nature, defects in liquid crystal structures readily self-heal. With these ma tters in mind this is an opportune moment to bring together a volume on the subject of Liquid CrystallineSemiconductors. The field is already too large to cover in a comprehensive manner so the aim has been to bring together contributions from leading res earchers which cover the main areas of the chemistry (synthesis andstructure/function relationships), physics (charge transport mechanisms and optical properties) and potential applications in photovoltaics, organic light emitting diodes (OLEDs) and organ ic field-effect transistors (OFETs). This bookwill provide a useful introduction to the field for those in both industry and academia and it is hoped that it will help to stimulate future developm
Note:Springer eBooks
Contents:Preface
1 Introduction
2 Charge Transport in Liquid Crystalline Semiconductors
3 Columnar Liquid Crystalline Semiconductors
4 Synthesis of Columnar Liquid Crystals
5 Charge Transport in Reactive Mesogens and Liquid Crystal Polymer Networks
6 Optical Properties of Liquid Crystals
7 Organic Light
Emitting diodes (OLEDs) and OLEDs with Polarised Emission
8 Liquid Crystals for Organic Photovoltaics
9 Liquid Crystals for Organic Field
Effect Transistors
ISBN:9789048128730
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Materials Science, 0933-033X : v169
Series:Physics and Astronomy (Springer-11651)
Keywords: Optical materials , Surfaces (Physics)
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Call number:SPRINGER-2013-9788847028357:ONLINE Show nearby items on shelf
Title:Spectral Theory and Quantum Mechanics [electronic resource] : With an Introduction to the Algebraic Formulation
Author(s): Valter Moretti
Date:2013
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
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Note:This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given tospectral theory features t hat are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another not lesser purpose is to collect in oneplace a number of useful rigorous statements on t he mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out toMaster's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. Thebook should benefit established researchers to organise and present the profusion of advanced ma terial disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly
Note:Springer eBooks
Contents:Introduction and mathematical backgrounds
Normed and Banach spaces, examples and applications
Hilbert spaces and bounded operators
Families of compact operators on Hilbert spaces and fundamental properties
Densely
defined unbounded operators on Hilbert spaces
Phenomenology of quantum systems and Wave Mechanics: an overview
The first 4 axioms of QM: propositions, quantum states and observables
Spectral Theory I: generalities, abstract C
algebras and operators in B(H)
Spectral theory II: unbounded operators on Hilbert spaces
Spectral Theory III: applications
Mathem
ISBN:9788847028357
Series:e-books
Series:SpringerLink (Online service)
Series:UNITEXT, 2038-5714
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Mathematical physics
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Call number:SPRINGER-2013-9783642396267:ONLINE Show nearby items on shelf
Title:Constant Mean Curvature Surfaces with Boundary [electronic resource]
Author(s): Rafael Lpez
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence ofgravity, where they separat e two different media, or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also ofgreat interest for many other mathematical fields. While minimal surfaces and CMC surfaces in general have already been treated in the literature, the present work is the first to present a comprehensive study of compact surfaceswith boundaries, narrowing its focus to a geometric view. Basic issues incl ude the discussion whether the symmetries of the curve inherit to the surface the possible values of the mean curvature, area and volume stability thecircular boundary case and the existence of the Plateau problem in the non-parametric case. The expositio n provides an outlook on recent research but also a set of techniques that allows the results to be expanded to other ambientspaces. Throughout the text, numerous illustrations clarify the results and their proofs. The book is intended for graduate stude nts and researchers in the field of differential geometry and especially theory of surfaces, includinggeometric analysis and geometric PDEs. It guides readers up to the state-of-the-art of the theory and introduces them to interesting open problems
Note:Springer eBooks
Contents:Introduction
Surfaces with Constant Mean Curvature
Constant Mean Curvature Embedded Surfaces
The Flux Formula for Constant Mean Curvature Surfaces
The Area and the Volume of a Constant Mean Curvature Surface
Constant Mean Curvature Discs with Circular Boundary
The Dirichlet Problem of the CMC Equation
The Dirichlet Problem in Unbounded Domains
Constant Mean Curvature Surfaces in Hyperbolic Space
The Dirichlet Problem in Hyperbolic Space
Constant Mean Curvature Surfaces in Lorentz
Minkowski Space
Appendix: A. The Variation Formula of the Area and the Volume
B
ISBN:9783642396267
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Geometry , Global differential geometry
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Call number:SPRINGER-2013-9783642370700:ONLINE Show nearby items on shelf
Title:Method of Guiding Functions in Problems of Nonlinear Analysis [electronic resource]
Author(s): Valeri Obukhovskii
Pietro Zecca
Nguyen Van Loi
Sergei Kornev
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differentialinclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in theresearch literature. It describes essential applic ations in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for pure mathematicians, but also for students and researchers working inapplied mathematics, the engineering sciences and physics
Note:Springer eBooks
Contents:1Background
2 MGF in Finite
Dimensional Spaces
3 Guiding Functions in Hilbert Spaces
4 Second
Order Differential Inclusions
5 Nonlinear Fredholm Inclusions
ISBN:9783642370700
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2076
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory , Systems theory
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Call number:SPRINGER-2013-9783642359637:ONLINE Show nearby items on shelf
Title:Essential Astrophysics [electronic resource]
Author(s): Kenneth R Lang
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:Essential Astrophysics is a book to learn or teach from, as well as a fundamental reference volume for anyone interested in astronomy and astrophysics. It presents astrophysics from basic principles without requiring any previousstudy of astronomy or astrophysics. It serves as a comprehensive introductory text, which takes the student through the field of astrophysics in lecture-sized chapters of basic physical principles applied to the cosmos. Thisone-semester overview will be enjoyed by undergradua te students with an interest in the physical sciences, such as astronomy, chemistry, engineering or physics, as well as by any curious student interested in learning about ourcelestial science. The mathematics required for understanding the text is on the level of simple algebra, for that is all that is needed to describe the fundamental principles. The text is of sufficient breadth and depth to prepare theinterested student for more advanced specialized courses in the future. Astronomical examples are pr ovided throughout the text, to reinforce the basic concepts and physics, and to demonstrate the use of the relevant formulae. In thisway, the student learns to apply the fundamental equations and principles to cosmic objects and situations. All of the exa mples are solved with the rough accuracy needed to portray the basic result. Astronomical and physical constantsand units as well as the most fundamental equations can be found in the appendix. Essential Astrophysics goes beyond the typical textbook by in cluding references to the seminal papers in the field, with further reference to recentapplications, results, or specialized literature. There are fifty set-aside focus elements that enhance and augment the discussion with fascinating details. They includ e the intriguing historical development of particular topics andprovide further astrophysics equations or equations for other topics. Kenneth Lang is a world-renowned author on astrophysics. His book
Note:Springer eBooks
Contents:List of focus elements
List of tables
Preface
1. Observing the Universe
2. Radiation
3. Gravity
4. Cosmic Motion
5. Moving Particles
6. Detecting Atoms in Stars
7. Transmutation of Elements
8. What Makes the Sun Shine?
9. The Extended Solar Atmosphere
10. The Sun Amongst the Stars
11. The Material Between the Stars
12. Formation of the Stars and their Planets
13 Stellar End States
14 A Larger, Expanding Universe
15 Origin, Evolution, and Destiny of the Observable Universe
Appendix I Constants
Appendix II Units
Appendix III Fundamental
ISBN:9783642359637
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Astrophysics , Astrobiology
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Call number:SPRINGER-2013-9783319008493:ONLINE Show nearby items on shelf
Title:Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces [electronic resource]
Author(s): Toka Diagana
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
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Note:This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as wellas their recent gene ralizations. Some of the results presented are either new or else cannot be easily found in the mathematical literature. Despite the noticeable and rapid progress made on these important topics, the only standardreferences that currently exist on those ne w classes of functions and their applications are still scattered research articles. One of the main objectives of this book is to close that gap. The prerequisites for the book is the basicintroductory course in real analysis. Depending on the background of the student, the book may be suitable for a beginning graduate and/or advanced undergraduate student. Moreover, it will be of a great interest to researchers inmathematics as well as in engineering, in physics, and related areas. Further, some parts o f the book may be used for various graduate and undergraduate courses
Note:Springer eBooks
Contents:1. Metric, Banach, and Hilbert Spaces
2. Linear Operators on Banach Spaces
3. Almost Periodic Functions
4. Almost Automorphic Functions
5. Pseudo
Almost Periodic Functions
6. Pseudo
Almost Automorphic Functions
7. Existence Results for Some Second
Order Differential Equations
8. Existence Results to Some Integrodifferential Equations
9. Existence of C(m)
Pseudo
Almost Automorphic Solutions
10. Pseudo
Almost Periodic Solutions to Some Third
Order Differential Equations
11. Pseudo
Almost Automorphic Solutions to Some Sobolev
Type Equations
12. Stability Results f
ISBN:9783319008493
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Operator theory , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2013-9783319006062:ONLINE Show nearby items on shelf
Title:Theoretical Femtosecond Physics [electronic resource] : Atoms and Molecules in Strong Laser Fields
Author(s): Frank Grossmann
Date:2013
Edition:2nd ed. 2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Theoretical investigations of atoms and molecules interacting with pulsed or continuous wave lasers up to atomic field strengths on the order of 10^16 W/cm are leading to an understanding of many challenging experimentaldiscoveries.This book deals wi th the basics of femtosecond physics and goes up to the latest applications of new phenomena. The book presents an introduction to laser physics with mode-locking and pulsed laser operation. The solutionof the time-dependent Schrdinger equation is discuss ed both analytically and numerically.The basis for the non-perturbative treatment of laser-matter interaction in the book is the numerical solution of the time-dependentSchrdinger equation. The light field is treated classically, and different possible ga uges are discussed. Physical phenonema, ranging from Rabi-oscillations in two-level systems to the ionization of atoms, the generation of highharmonics, the ionization and dissociation of molecules as well as the control of chemical reactions are presente d and discussed on a fundamental level. In this way the theoretical background for state of the art experiments withstrong and short laser pulses is given. The text is augmented by more than thirty exercises, whose worked-out solutions are given in the la st chapter. Some detailed calculations are performed in the appendices. Furthermore, eachchapter ends with references to more specialized literature
Note:Springer eBooks
Contents:A Short Introduction to Laser Physics
Time
Dependent Quantum Theory
Field Matter Coupling and Two
Level Systems
Single Electron Atoms in Strong Laser Fields
Molecules in Strong Laser Fields
Solutions to Problems
ISBN:9783319006062
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic , Chemistry , Quantum theory
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Call number:SPRINGER-2013-9783319004075:ONLINE Show nearby items on shelf
Title:The Janus Fluid [electronic resource] A Theoretical Perspective
Author(s): Riccardo Fantoni
Date:2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:The state-of-the-art in the theoretical statistical physics treatment of the Janus fluid is reported with a bridge between new research results published in journal articles and a contextual literature review. Recent Monte Carlosimulations on the Ker n and Frenkel model of the Janus fluid have revealed that in the vapor phase, below the critical point, there is the formation of preferred inert clusters made up of a well-defined number of particles: themicelles and the vesicles. This is responsible for a re-entrant gas branch of the gas-liquid binodal. Detailed account of this findings are given in the first chapter where the Janus fluid is introduced as a product of newsophisticated synthesis laboratory techniques. In the second chapter a cluster theo ry is developed to approximate the exact clustering properties stemming from the simulations. It is shown that the theory is able to reproducesemi-quantitatively the micellization phenomenon
Note:Springer eBooks
Contents:What is a Janus Fluid?
Introduction
The Classical Statistical Physics Problem
Experimental Methods
Numerical Simulations
Relationship between the Structure and the Thermodynamics
The Phase Diagram of a Janus Fluid
The Structure of a Janus Fluid
Clustering and Micellization in a Janus Fluid
Introduction
The Kern and Frenkel Model
Clustering Properties
A Cluster Theory for Janus Particles
Relationship between the Configurational Partition Functions
Results
ISBN:9783319004075
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Physics, 2191-5423
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic
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Call number:SPRINGER-2013-9783034806039:ONLINE Show nearby items on shelf
Title:Quaternion and Clifford Fourier Transforms and Wavelets [electronic resource]
Author(s): Eckhard Hitzer
Stephen J Sangwine
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:Quaternion andClifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering.This edited volume pres ents the state of the art in these hypercomplex transformations. The Clifford algebras unify Hamiltons quaternions with Grassmann algebra. A Clifford algebra is a complete algebra of a vector space and all itssubspaces including the measurement of volumes and dihedral angles between any pair of subspaces. Quaternion and Clifford algebras permit the systematic generalization of many known concepts. This book provides comprehensiveinsights into current developments and applications including their performa nce and evaluation. Mathematically, it indicates where further investigation is required. For instance, attention is drawn to the matrix isomorphisms forhypercomplex algebras, which will help readers to see that software implementations are within our gra sp. It also contributes to a growing unification of ideas and notation across the expanding field of hypercomplex transforms andwavelets. The first chapter provides a historical background and an overview of the relevant literature, and shows how the con tributions that follow relate to each other and to prior work. The book will be a valuable resource forgraduate students as well as for scientists and engineers
Note:Springer eBooks
Contents:Preface
History of Quaternion and Clifford
Fourier Transforms and Wavelets
Part I: Quaternions
1 Quaternion Fourier Transform: Re
tooling Image and Signal Processing Analysis
2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
3 Quaternionic Spectral Analysis of Non
Stationary Improper Complex Signals
4 Quaternionic Local Phase for Low
level Image Processing Using Atomic Functions
5 Bochners Theorems in the Framework of Quaternion Analysis
6 Bochner
Minlos Theorem and Quaternion Fourier Transform
Part II: Clifford Algeb
ISBN:9783034806039
Series:e-books
Series:SpringerLink (Online service)
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Matrix theory , Fourier analysis , Numerical analysis , Number theory
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Call number:SPRINGER-2013-9783034805636:ONLINE Show nearby items on shelf
Title:Special Functions of Mathematical (Geo-)Physics [electronic resource]
Author(s): Willi Freeden
Martin Gutting
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A goodunderstanding of special fun ctions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The specialfunctions to be discussed in this monograph vary great ly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective fieldcharacteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process. Each chapter closes with exercisesthat reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields ofresearch, where special functions are essential to application. All in all, the book is an equally valuable resource for educa tion in geomathematics and the study of applied and harmonic analysis. Students who wish to continue withfurther studies should consult the literature given as supplements for each topic covered in the exercises
Note:Springer eBooks
Contents:1 Introduction: Geomathematical Motivation
Part I: Auxiliary Functions
2 The Gamma Function
3 Orthogonal Polynomials
Part II: Spherically Oriented Functions
4 Scalar Spherical Harmonics in R^3
5 Vectorial Spherical Harmonics in R^3
6 Spherical Harmonics in R^q
7 Classical Bessel Functions
8 Bessel Functions in R^q
Part III: Periodically Oriented Functions
9 Lattice Functions in R
10 Lattice Functions in R^q
11 Concluding Remarks
References
Index
ISBN:9783034805636
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Physical geography , Meteorology , Harmonic analysis , Differential equations, partial , Functions, special
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Call number:SPRINGER-2013-9781447151227:ONLINE Show nearby items on shelf
Title:Real Analysis: Measures, Integrals and Applications [electronic resource]
Author(s): Boris Makarov
Anatolii Podkorytov
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications bothclassical and those rarely co vered in literature. This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It examines theconcept of the Hausdorff measure, the properties of the a rea on smooth and Lipschitz surfaces, the divergence formula, and Laplace's method for finding the asymptotic behavior of integrals. The general theory is then applied toharmonic analysis, geometry, and topology. Preliminaries are provided on probability theory, including the study of the Rademacher functions as a sequence of independent random variables. The book contains more than 600 examples andexercises. The reader who has mastered the first third of the book will be able to study other areas of mat hematics that use integration, such as probability theory, statistics, functional analysis, partial probability theory,statistics, functional analysis, partial differential equations and others. Real Analysis: Measures, Integrals and Applications is inte nded for advanced undergraduate and graduate students in mathematics and physics. It assumes thatthe reader is familiar with basic linear algebra and differential calculus of functions of several variables
Note:Springer eBooks
Contents:Measure
The Lebesgue Model
Measurable Functions
The Integral
The Product Measure
Change of Variables in an Integral
Integrals Dependent on a Parameter
Surface Integrals
Approximation and Convolution of the Space
Fourier Series and the Fourier Transform
Charges. The Radon
Nikodym Theory
Integral Representation of Linear Functionals
Appendices
ISBN:9781447151227
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Geometry
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Call number:SPRINGER-2012-9789400701960:ONLINE Show nearby items on shelf
Title:Coherent States and Applications in Mathematical Physics [electronic resource]
Author(s): Monique Combescure
Didier Robert
Date:2012
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serveas a compendium on c oherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution ofcoherent states to various specific examp les of coherent states (hydrogen atom, quantum oscillator, ...)
Note:Springer eBooks
Contents:The standard coherent states of quantum mechanics
The Weyl
Heisenberg group and the coherent states of arbitrary profile
The coherent states of the Harmonic Oscillator
From Schrdinger to Fock
Bargmann representation
Weyl quantization and coherent states: Classical and Quantum observables
Wigner function
Coherent states and operator norm estimates
Product rule and applications
Husimi functions, frequency sets and propagation
The Wick and anti
Wick quantization
The generalized coherent states in the sense of Perelomov
The SU(1,1) coherent states: Definition an
ISBN:9789400701960
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Quantum theory , Mathematical physics
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Call number:SPRINGER-2012-9783642298806:ONLINE Show nearby items on shelf
Title:Fluctuations in Markov Processes [electronic resource] : Time Symmetry and Martingale Approximation
Author(s): Tomasz Komorowski
Claudio Landim
Stefano Olla
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Diffusive phenomena in statistical mechanics and in other fields arise from markovian modeling and their study requires sophisticated mathematical tools. In infinite dimensional situations, time symmetry properties can beexploited in order to make ma rtingale approximations, along the lines of the seminal work of Kipnis and Varadhan. The present volume contains the most advanced theories on the martingale approach to central limit theorems. Using thetime symmetry properties of the Markov processes, th e book develops the techniques that allow us to deal with infinite dimensional models that appear in statistical mechanics and engineering (interacting particle systems,homogenization in random environments, and diffusion in turbulent flows, to mention ju st a few applications). The first part contains a detailed exposition of the method, and can be used as a text for graduate courses. The secondconcerns application to exclusion processes, in which the duality methods are fully exploited. The third part is about the homogenization of diffusions in random fields, including passive tracers in turbulent flows (including thesuperdiffusive behavior). There are no other books in the mathematical literature that deal with this kind of approach to the problem of the central limit theorem. Hence, this volume meets the demand for a monograph on this powerfulapproach, now widely used in many areas of probability and mathematical physics. The book also covers the connections with and application to hydrodynamic limit s and homogenization theory, so besides probability researchers it willalso be of interest to mathematical physicists and analysts
Note:Springer eBooks
Contents:Preface
Part I: General Theory
1.A Warming
up Example
2.Central Limit Theorems
3.RandomWalks in Random Environment
4.Bounds and Variational Principles for the Asymptotic Variance
Part II: Simple Exclusion Processes
5.The Simple Exclusion Process
6.Self Diffusion
7.Equilibrium Fluctuations of the Density Field
8.Regularity of the Asymptotic Variance
Part III: Diffusions in Random Environments
10.Variational Principles for the Limiting Variance
11.Diffusions with Divergence Free Drifts
12.Diffusions with Gaussian Drifts
13.Ornstein
Uhlenbeck Process w
ISBN:9783642298806
Series:e-books
Series:SpringerLink (Online service)
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v345
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2012-9783642280702:ONLINE Show nearby items on shelf
Title:Solving Differential Equations in R [electronic resource]
Author(s): Karline Soetaert
Jeff Cash
Francesca Mazzia
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical andtheoretical account o f how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differentialequations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R forsolving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematicalbackground. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differentialequations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Ma ny examples are well-known test examples, used frequently in the field of numerical analysis
Note:Springer eBooks
Contents:Differential Equations
Initial Value Problems
Solving Ordinary Differential Equations in R
Differential Algebraic Equations
Solving Differential Algebraic Equations in R
Delay Differential Equations
Solving Delay Differential Equations in R
Partial Differential Equations
Solving Partial Differential Equations in R
Boundary Value Problems
Solving Boundary Value Problems in R
Appendix
Index
ISBN:9783642280702
Series:e-books
Series:SpringerLink (Online service)
Series:Use R!
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Computer simulation , Differential Equations , Differential equations, partial , Computer science Mathematics , Mathematical statistics
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Call number:SPRINGER-2012-9783642244407:ONLINE Show nearby items on shelf
Title:Quantum Triangulations [electronic resource] : Moduli Spaces, Strings, and Quantum Computing
Author(s): Mauro Carfora
Annalisa Marzuoli
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemannmoduli space theory, str ings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physicaltheories are typically formulated, but their appear ance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a waywhich makes manifest the basic geometric structures of the physical intera ctions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physicaltheory to make it more amenable for numerical treatment. The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of casesstudies, the connection between triangulated manifolds and quantum physics to the deepest. This volume addresses applied m athematicians and theoretical physicists working in the field of quantum geometry and its applications.
Note:Springer eBooks
Contents:Triangulated Surfaces and Polyhedral Structures
Singular Euclidean Structures an Riemann Surfaces
Polyhedral Surfaces and the Weil
Petersson Form
The Quantum Geometry of Polyhedral Surfaces
State Sum Models and Observables
Combinatorial Framework for Topological Quantum Computing
A Capsule of Moduli Space Theory
Spectral Theory on Polyhedral Surfaces
Index
ISBN:9783642244407
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v845
Series:Physics and Astronomy (Springer-11651)
Keywords: Cell aggregation Mathematics , Quantum theory
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Call number:SPRINGER-2012-9783642240409:ONLINE Show nearby items on shelf
Title:Lectures on LHC Physics [electronic resource]
Author(s): Tilman Plehn
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:When trying to apply the solid knowledge of quantum field theory to actual LHC physics - in particular to the Higgs sector and certain regimes of QCD - one inevitably meets an intricate maze of phenomenological know-how, commonlores and other, often historically grown intuition about what works and what not. These lectures are intended to be a brief but sufficiently detailed primer on LHC physics that will enable graduate students and any newcomer to thefield to find their way through the more advanc ed literature as well as helping them to start work in this very timely and exciting field of research
Note:Springer eBooks
Contents:Higgs Physics
QCD
LHC Phenomenology
Index
ISBN:9783642240409
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v844
Series:Physics and Astronomy (Springer-11651)
Keywords: Nuclear physics , Quantum theory
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Call number:SPRINGER-2012-9783642225970:ONLINE Show nearby items on shelf
Title:Topics in Noncommutative Algebra [electronic resource] : The Theorem of Campbell, Baker, Hausdorff and Dynkin
Author(s): Andrea Bonfiglioli
Roberta Fulci
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, NumericalAnalysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: 1) fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra ornot) to understand and apply the statements and numero us corollaries of the main result 2) provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view andnotation 3) provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincar, Pascal, Campbell, Baker, Hausdorff and Dynkin 4) give an outlook on theapplications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) 5 ) quickly enable the reader, through a description of the state-of-art and open problems, to understand the modernliterature concerning a theorem which, though having its roots in the beginning of the20th century, has not ceased to provide new problems an d applications. The book assumes some undergraduate-level knowledge of algebra and analysis,but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool fo r beginners in Algebra
Note:Springer eBooks
Contents:1 Historical Overview
Part I Algebraic Proofs of the CBHD Theorem
2 Background Algebra
3 The Main Proof of the CBHD Theorem
4 Some Short Proofs of the CBHD Theorem
5 Convergence and Associativity for the CBHD Theorem
6 CBHD, PBW and the Free Lie Algebras
Part II Proofs of the Algebraic Prerequisites
7 Proofs of the Algebraic Prerequisites
8 Construction of Free Lie Algebras
9 Formal Power Series in One Indeterminate
10 Symmetric Algebra
ISBN:9783642225970
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2034
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry
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Call number:SPRINGER-2012-9783642104497:ONLINE Show nearby items on shelf
Title:Modern Theories of Many-Particle Systems in Condensed Matter Physics [electronic resource]
Author(s): Daniel C Cabra
Andreas Honecker
Pierre Pujol
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here,the development of no n-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapiddevelopment that has taken place for both exper imental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed mattersystems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topicsas quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductor s, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transportthrough quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As bothgraduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field ali ke
Note:Springer eBooks
Contents:Quantum Phase Transitions of Antiferromagnets and the Cuprate Superconductors
Electronic Liquid Crystal Phases in Strongly Correlated Systems
Selected Topics in Graphene Physics
Strong Electronic Correlations: Dynamical Mean
Field Theory and Beyond
Nonequilibrium Transport and Dephasing in Coulomb
blockaded Quantum Dots
Many
body Physics From a Quantum Information Perspective
Statistical Mechanics of Classical and Quantum Computational Complexity
Non
perturbative Methods in (1+1) Dimensional Quantum Field Theory
ISBN:9783642104497
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v843
Series:Physics and Astronomy (Springer-11651)
Keywords: Magnetism
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Call number:SPRINGER-2012-9783034804998:ONLINE Show nearby items on shelf
Title:Evolutionary Integral Equations and Applications [electronic resource]
Author(s): Jan Prss
Date:2012
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. The main feature of the kernels involved is that they consist of unbounded linear operators. Theaim is a coherentpres entation of the state of art of the theory including detailed proofs and its applications to problems from mathematical physics, such as viscoelasticity, heat conduction, and electrodynamics with memory. Theimportance of evolutionary integral equations w hich form a larger class than do evolution equations stems from such applications and therefore special emphasis is placed on these. A number of models are derived and, by meansof the developed theory, discussed thoroughly. An annotated bibliography cont aining 450 entries increases the books value as an incisive reference text. --- This excellent book presents a general approach to linearevolutionary systems, with an emphasis on infinite-dimensional systems with time delays, such as those occurring in linear viscoelasticity with or without thermal effects. It gives a very natural and mature extension of the usualsemigroup approach to a more general class of infinite-dimensional evolutionary systems. This is the first appearance in the form of a monogra ph of this recently developed theory. A substantial part of the results are due to theauthor, or are even new. () It is not a book that one reads in a few days. Rather, it should be considered as an investment with lasting value. (Zentralblatt MATH) In t his book, the author, who has been at the forefront ofresearch on these problems for the last decade, has collected, and in many places extended, the known theory for these equations. In addition, he has provided a framework that allows one to relate and evaluate diverse results in theliterature. (Mathematical Reviews) This book constitutes a highly valuable addition to the existing literature on the theory of Volterra (evolution
Note:Springer eBooks
Contents:Preface
Introduction
Preliminaries
I Equations of Scalar Type
1 Resolvents
2 Analytic Resolvents
3 Parabolic Equations
4 Subordination
5 Linear Viscoelasticity
II Nonscalar Equations
6 Hyperbolic Equations of Nonscalar Type
7 Nonscalar Parabolic Equations
8 Parabolic Problems in Lp
Spaces
9 Viscoelasticity and Electrodynamics with Memory
III Equations on the Line
10 Integrability of Resolvents
11 Limiting Equations
12 Admissibility of Function Spaces
13 Further Applications and Complements
Bibliography
Index
ISBN:9783034804998
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Integral equations , Operator theory , Differential Equations
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Call number:SPRINGER-2012-9781461418122:ONLINE Show nearby items on shelf
Title:Metal-Dielectric Interfaces in Gigascale Electronics [electronic resource] : Thermal and Electrical Stability
Author(s): Ming He
Toh-Ming Lu
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Metal-dielectric interfaces are ubiquitous in modern electronics. As advanced gigascale electronic devices continue to shrink, the stability of these interfaces is becoming an increasingly important issue that has a profoundimpact on the operational reliability of these devices. In this book, the authors present the basic science underlying the thermal and electrical stability of metal-dielectric interfaces and its relationship to the operation ofadvanced interconnect systems in gigascale electronics . Interface phenomena, including chemical reactions between metals and dielectrics, metallic-atom diffusion, and ion drift, are discussed based on fundamental physical and chemicalprinciples. Schematic diagrams are provided throughout the book to illustra te interface phenomena and the principles that govern them. Metal-Dielectric Interfaces in Gigascale Electronics provides a unifying approach to the diverseand sometimes contradictory test results that are reported in the literature on metal-dielectric in terfaces. The goal is to provide readers with a clear account of the relationship between interface science and its applications ininterconnect structures. The material presented here will also be of interest to those engaged in field-effect transistor an d memristor device research, as well as university researchers and industrial scientists working in the areasof electronic materials processing, semiconductor manufacturing, memory chips, and IC design. Presents a unified approach to understanding the div erse phenomena observed at metal-dielectric interfaces Features fundamentalconsiderations in the physics and chemistry of metal-dielectric interactions Explores mechanisms of metal atom diffusion and metal ion drift in dielectrics Provides keys to underst anding reliability in gigascale electronics Focuses ona dynamic area of current research that is a foundationof future interconnect systems, memristors, and solid-state electrolyte devices P
Note:Springer eBooks
Contents:Preface
1. Introduction
2. Metal
Dielectric Diffusion Processes: Fundamentals
3. Experimental Techniques
4. Al
Dielectric Interfaces
5. Cu
Dielectric Interfaces
6. Barrier Metal
Dielectric Interfaces
7. Self
Forming Barriers. 8. Kinetics of Ion Drift
9. Time
Dependent Dielectric Breakdown (TDDB) and Future Directions
ISBN:9781461418122
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Materials Science, 0933-033X : v157
Series:Physics and Astronomy (Springer-11651)
Keywords: Engineering , Chemistry , Electronics , Optical materials
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Call number:SPRINGER-2012-9781441978387:ONLINE Show nearby items on shelf
Title:The Geometry of Minkowski Spacetime [electronic resource] An Introduction to the Mathematics of the Special Theory of Relativity
Author(s): Gregory L Naber
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usualmenu of topics one is accu stomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeemans characterization of the causal automorphisms of Minkowski spacetime,the Penrose theorem on the apparent shape of a relat ivistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology forMinkowski spacetime whose homeomorphism group is essentially the Lorentz grou p, and a careful discussion of Diracs famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. Thissecond edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presenceof gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recentastronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a know ledge of linear algebra in the first three chapters, a bit of real analysis in thefourth and, in two appendices, some elementary point-set topology. The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title. Reviews of first edition: a valuable contribution to thepedagogical literature which will be enjoyed by all who delight in precise mathematics and physics. (American Mathematic
Note:Springer eBooks
ISBN:9781441978387
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v92
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Cell aggregation Mathematics , Mathematical physics
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Call number:SPRINGER-2012-9780817683436:ONLINE Show nearby items on shelf
Title:Singularities of Differentiable Maps, Volume 2 [electronic resource] : Monodromy and Asymptotics of Integrals
Author(s): V.I Arnold
S.M Gusein-Zade
A.N Varchenko
Date:2012
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Originally published inthe 1980s, Singularities of DifferentiableMaps: Monodromy and Asymptotics of Integrals was thesecond oftwovolumes that togetherformed a translation of the authors'influential Russian monographon singularity theory.This uncorrec ted softcover reprint of the work brings its still-relevant content back into the literature, making it availableand affordableto a global audience of researchers and practitioners. Whilethe first volume of this title, subtitled Classification of Critical Points, Caustics and Wave Fronts, contained the zoology of differentiable mapsthat is, was devoted to a description of what, where, and how singularities could beencounteredthis second volume concentrates on elements of theanatomy and physiology of singu larities of differentiable functions. The questions considered here are about the structure of singularities and how they function. Inthe first part the authors consider the topological structure of isolated critical points of holomorphic functions: vanis hing cycles distinguished bases intersection matricesmonodromy groupsthe variation operatorand theirinterconnections and method of calculation. The second part is devoted to the study of the asymptotic behavior of integrals of the method of stationary pha se, which is widely met within applications. The third and last part dealswith integrals evaluated over level manifolds in a neighborhood of the critical point of a holomorphic function. Thismonograph is suitablefor mathematicians, researchers, postgradua tes, and specialists in the areas ofmechanics, physics, technology, and other sciences dealing with the theory of singularities of differentiable maps
Note:Springer eBooks
Contents:Part I. The topological structure of isolated critical points of functions
Introduction
Elements of the theory of Picard
Lefschetz
The topology of the non
singular level set and the variation operator of a singularity
The bifurcation sets and the monodromy group of a singularity
The intersection matrices of singularities of functions of two variables
The intersection forms of boundary singularities and the topology of complete intersections
Part II. Oscillatory integrals
Discussion of results
Elementary integrals and the resolution of singularities of the phase
As
ISBN:9780817683436
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Topological Groups , Global analysis (Mathematics) , Global differential geometry , Cell aggregation Mathematics
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Call number:SPRINGER-2012-9780817649401:ONLINE Show nearby items on shelf
Title:Einstein and the Changing Worldviews of Physics [electronic resource]
Author(s): Christoph Lehner
Jrgen Renn
Matthias Schemmel
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
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Note:This volume reviews conceptual conflicts at the foundations of physics now and in the past century. The focus is on the conditions and consequences of Einsteins pathbreaking achievements that sealed the decline of theclassical notions of space, time, radiation, and matter, and resulted in the theory of relativity. Particular attention is paid to the implications of conceptual conflicts for scientific views of the world at large, thus providingthe basis for a comparison of the demise of the mechanical worldview at the turn of the 20th century with the challenges presented by cosmology at the turn of the 21st century. Throughout the work, Einsteins contributions are notseen in isolation but instead set into the wider intellectual context of dealing wit h the problem of gravitation in the twilight of classical physics the investigation of the historical development is carried out with a number ofepistemological questions in mind, concerning, in particular, the transformation process of knowledge associat ed with the changing worldviews of physics. Einstein and the Changing Worldviews of Physics is divided into four main parts:* Part I: At the Limits of the Classical Worldview * Part II: Contexts of the Relativity Revolution * Part III: The Emergence of th e Relativistic Worldview * Part IV: A New Worldview in the Making. The contributions explore variousaspects of the emerging relativistic views in modern physics by giving an historical, philosophical, and mathematical account of Einsteins work, as well as the work of other distinguished physicists in the field. Taken as a whole,the book is focused on the interplay between mathematical concepts and physical ideas throughout history by studying todays scientific world and how it continues to redefine physic s in the 21st century. Contributors: A. Ashtekar, E.Battaner, J.E. Beckman, K.A. Brading, T. Dray, J. Eisenstaedt, E. Florido, H.F. Goenner, D. Kennefick, J. Renn, T.A.Ryckman, D
Note:Springer eBooks
Contents:Introduction
Part I: At the Limits of the Classical Worldview
Theories of Gravitation in the Twilight of Classical Physics
The Newtonian Theory of Light Propagation
Mach and Einstein, or, Clearing Troubled Waters in the History of Science
Part II: Contexts of the Relativity Revolution
Tilling the Seedbed of Einstein's Politics: A Pre
1905 Harbinger?
The Early Reception of Einsteins Relativity among British Philosophers
Science and Ideology in Einstein's Visit to South America in 1925
The Reception of Einstein's Relativity Theories in Literature and the Arts (1920
ISBN:9780817649401
Series:e-books
Series:SpringerLink (Online service)
Series:Einstein Studies : v12
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Astronomy
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Call number:SPRINGER-2011-9789400705852:ONLINE Show nearby items on shelf
Title:Soft Matter [electronic resource] : The stuff that dreams are made of
Author(s): Roberto Piazza
Date:2011
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
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Note:Soft matter may, as Roberto Piazza puts it, be the stuff of dreams, but it is also the stuff of life. That is what makes this book so engaging because it shows the ingenuity that both nature and humankind have invested inthe bendy, stretchy, fragile , tough and adaptable substances we find all around us. There is plenty of hard science in this soft matter, and Piazza offers an urbane and eloquent tour through it. Philip Ball, multi-award winningscience writer. This book takes you for a leisurely walk through the middle earth that scientists call soft matter -- much smaller than what we observe with the naked eye, but not as remote as the esoteric realm of molecules,atoms and fundamental particles. From toys to trainers, our civilization would be very different if we did not have plastic. From milk to paint, what would we do without colloids? We ourselves fall into the category of soft matter,made as we are of a molecular origami of proteins, DNA and other biological compounds. This fascinating explor ation reveals what these materials have in common and which aspects of their behavior make them useful in our everydaylife. Understanding more about their physical properties will make you marvel at the soft things that surround us. With a Foreword by Pro fessor Henk Lekkerkerker, Utrecht University, the Netherlands Roberto Piazza trained as aphysicist at the school of Vittorio Degiorgio, and is now a professor of Condensed Matter Physics at the Politecnico di Milano, Italy, Associate Editor of the Europea n Physical Journal E and coordinator of the European Space Agency'sTopical Team for Applications of colloids in microgravity of the European Space Agency. He has made important contributions to research on nanoparticle suspensions, polymer and surfactant solutions and biological macromolecules.He is not only a gifted physicists, but equally well versed in history and literature
Note:Springer eBooks
Contents:Foreword
Preface to the English edition
1 Overture: a special day
2 A life in suspense
3 Freedom in chains
4 Double
faced Janus Molecules
5 Nanoarchitecture
6 Dreamtime
Weird words: soft matter from A to Z
Index of common things (or almost so)
ISBN:9789400705852
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Polymers , Mathematics , Surfaces (Physics)
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Call number:SPRINGER-2011-9783834883278:ONLINE Show nearby items on shelf
Title:PT-Symmetric Schrdinger Operators with Unbounded Potentials [electronic resource]
Author(s): Jan Nesemann
Date:2011
Publisher:Wiesbaden : Vieweg+Teubner
Size:1 online resource
Note:Springer e-book platform
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Note:Following the pioneering work of Carl M. Bender et al. (1998), there has been an increasing interest in theoretical physics in so-called PT-symmetric Schrdinger operators. In the physical literature, the existence ofSchrdinger operators with PT-symme tric complex potentials having real spectrum was considered a surprise and many examples of such potentials were studied in the sequel. From a mathematical point of view, however, this is no surpriseat all provided one is familiar with the theory of self -adjoint operators in Krein spaces. Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provideconditions which guarantee the spectrum of the perturbed operator to remain rea l. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention tothe case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum
Note:Springer eBooks
ISBN:9783834883278
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2011-9783764399924:ONLINE Show nearby items on shelf
Title:Symplectic Methods in Harmonic Analysis and in Mathematical Physics [electronic resource]
Author(s): Maurice A Gosson
Date:2011
Publisher:Basel : Springer Basel
Size:1 online resource
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Note:The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in thetime-frequency literature. The topi cs that are addressed include (but are not limited to) the theory of the Wigner transform, the uncertainty principle (from the point of view of symplectic topology), Weyl calculus and its symplecticcovariance, Shubins global theory of pseudo-differential operators, and Feichtingers theory of modulation spaces. Several applications to time-frequency analysis and quantum mechanics are given, many of them concurrent withongoing research. For instance, a non-standard pseudo-differential calculus on phase spac e is introduced and studied, where the main role is played by Bopp operators (also called Landau operators in the literature). Thiscalculus is closely related to both the Landau problem and to the deformation quantization theory of Flato and Sternheimer, of which it gives a simple pseudo-differential formulation where Feichtingers modulation spaces are keyactors. This book is primarily directed towards students or researchers in harmonic analysis (in the broad sense) and towards mathematical physicists wo rking in quantum mechanics. It can also be read with profit by researchers intime-frequency analysis, providing a valuable complement to the existing literature on the topic. A certain familiarity with Fourier analysis (in the broad sense) and introductor y functional analysis (e.g. the elementary theory ofdistributions) is assumed. Otherwise, the book is largely self-contained and includes an extensive list of references
Note:Springer eBooks
ISBN:9783764399924
Series:e-books
Series:SpringerLink (Online service)
Series:Pseudo-Differential Operators, Theory and Applications : v7
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory , Differential equations, partial , Global differential geometry
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Call number:SPRINGER-2011-9783642150074:ONLINE Show nearby items on shelf
Title:Normal Approximation by Steins Method [electronic resource]
Author(s): Louis H.Y Chen
Larry Goldstein
Qi-Man Shao
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Since its introduction in 1972, Steins method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation errorbounds in a wide variety of si tuations, even in the presence of complicated dependence. Use of the method thus opens the door to the analysis of random phenomena arising in areas including statistics, physics, and molecular biology.Though Stein's method for normal approximation is now mature, the literature has so far lacked a complete self contained treatment. This volume contains thorough coverage of the methods fundamentals, includes a large number ofrecent developments in both theory and applications, and will help accelerate the appreciation, understanding, and use of Stein's method by providing the reader with the tools needed to apply it in new situations. It addressesresearchers as well as graduate students in Probability, Statistics and Combinatorics
Note:Springer eBooks
Contents:Preface
1.Introduction
2.Fundamentals of Stein's Method
3.Berry
Esseen Bounds for Independent Random Variables
4.L^1 Bounds
5.L^1 by Bounded Couplings
6 L^1: Applications
7.Non
uniform Bounds for Independent Random Variables
8.Uniform and Non
uniform Bounds under Local Dependence
9.Uniform and Non
Uniform Bounds for Non
linear Statistics
10.Moderate Deviations
11.Multivariate Normal Approximation
12.Discretized normal approximation
13.Non
normal Approximation
14.Extensions
References
Author Index
Subject Index
Notation
ISBN:9783642150074
Series:e-books
Series:SpringerLink (Online service)
Series:Probability and Its Applications, 1431-7028
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2011-9783642147340:ONLINE Show nearby items on shelf
Title:Stellar Physics [electronic resource] : 2: Stellar Evolution and Stability
Author(s): Gennady S Bisnovatyi-Kogan
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Stellar Physics is a an outstanding book in the growing body of literature on star formation and evolution. Not only does the author, a leading expert in the field, very thoroughly present the current state of knowledge onstellar physics, but he hand les with equal care the many problems that this field of research still faces. A bibliography with well over 1000 entries makes this book an unparalleled reference source. Stellar Evolution and Stabilityis the second of two volumes and can be read, as can the first volume Fundamental Concepts and Stellar Equilibrium, as a largely independent work. It traces in great detail the evolution of protostars towards the main sequence andbeyond this to the last stage of stellar evolution, with the corresponding va st range from white dwarfs to supernovae explosions, gamma-ray bursts and black hole formation. The book concludes with special chapters on the dynamical,thermal and pulsing stability of stars. This second edition is carefully updated in the areas of pre- supernova models, magnetorotational supernovae, and the theory of accretion disks around black holes. Additional sections have beenadded on strange quark stars, jet formation and collimation, radiation-driven winds in strong gravitational fields and gamma -ray bursts. From the reviews of the first edition: I heartily recommend the book for researchers in thefield. (Robert Deupree, PHYSICS TODAY, Feb. 2003)
Note:Springer eBooks
Contents:Star Formation
Pre
main Sequence Evolution
Nuclear Evolution of Stars
Collapse and Supernovae
Final Stages of Stellar Evolution
Dynamic Stability
Thermal Stability
Stellar Pulsations and Stability
References
List of Symbols and Abbreviations
Some Important Constants
Subject Index
ISBN:9783642147340
Series:e-books
Series:SpringerLink (Online service)
Series:Astronomy and Astrophysics Library, 0941-7834
Series:Physics and Astronomy (Springer-11651)
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Call number:SPRINGER-2011-9780817681111:ONLINE Show nearby items on shelf
Title:A Friendly Guide to Wavelets [electronic resource]
Author(s): Gerald Kaiser
Date:2011
Publisher:Boston : Birkhuser Boston
Size:1 online resource
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Note:I wholeheartedly recommend this book for a solid and friendly introduction to wavelets, for anyone who is comfortable with the mathematics required of undergraduate electrical engineers. The book's appeal is that it covers allthe fundamental concepts of wavelets in an elegant, straightforward way. It offers truly enjoyable (friendly!) mathematical exposition that is rich in intuitive explanations, as well as clean, direct, and clear in its theoreticaldevelopments. I found Kaiser's straightforward end -of-chapter exercises excellent...Kaiser has written an excellent introduction to the fundamental concepts of wavelets. For a book of its length and purpose, I think it should beessentially unbeatable for a long time. Proceedings of the IEEE It is well pr oduced and certainly readable...This material should present no difficulty for fourth-year undergraduates...It also will be useful to advanced workers inthat it presents a different approach to wavelet theory from the usual one. Computing Reviews I found this to be an excellent book. It is eminently more readable than the books...which might be considered the principal alternativesfor textbooks on wavelets. Physics Today This volume is probably the most gentle introduction to wavelet theory on the market. As such, it responds to a significant need. The intended audience will profit from the motivation andcommon-sense explanations in the text. Ultimately, it may lead many readers, who may not otherwise have been able to do so, to go further into wavelet th eory, Fourier analysis, and signal processing. SIAM Review The first half ofthe book is appropriately named. It is a well-written, nicely organized exposition...a welcome addition to the literature. The second part of the book introduces the concept of el ectromagnetic wavelets...This theory promises to havemany other applications and could well lead to new ways of studying these topics. This book has a number of unique features which...makes
Note:Springer eBooks
Contents:Preface
Suggestions to the Reader
Symbols, Conventions, and Transforms
Part I: Basic Wavelet Analysis. Preliminaries: Background and Notation
Windowed Fourier Transforms
Continuous Wavelet Transforms
Generalized Frames: Key to Analysis and Synthesis
Discrete Time
Frequency Analysis and Sampling
Discrete Time
Scale Analysis
Multiresolution Analysis
Daubechies Orthonormal Wavelet Bases
Part II: Physical Wavelets
Introduction to Wavelet Electromagnetics
Applications to Radar and Scattering
Wavelet Acoustics
References
Index
ISBN:9780817681111
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Mathematical physics
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Call number:SPRINGER-2011-9780817647919:ONLINE Show nearby items on shelf
Title:A Modern Approach to Functional Integration [electronic resource]
Author(s): John R Klauder
Date:2011
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
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Note:This text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or instead involve constraints with demonstrativelyimproved procedures. Str ong emphasis is placed on the coherent state form of the path integral, which typically is only briefly mentioned in the textbook literature. Also of prime importance, a key focus of the book will be on theprojection operator method of enforcing quantum c onstraints. Additionally, several novel proposals are introduced to deal with highly singular quantum field theories. The modern treatment used by the author is an attempt to make amajor paradigm shift in how the art of functional integration is practiced . The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and appliedmathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. Ke y topics and features: * A thorough grounding in the Gold Standard of path integrals: the Wiener measure * Formulation of all pathintegral construction from abstract principles * A review of coherent state fundamentals * A critical comparison of several p ath integral versions with emphasis on the virtues of the coherent state version * A construction of theWiener-measure regularized phase space path integral, its emergence as a coherent state path integral, and its superior definition and connection to th e classical theory underlying the quantization * A review of classical and quantumconstraints and some of their traditional treatments * Introduction of the projection operator method to deal with quantum constraints, its many virtues as compared to tradi tional methods, and how it can be incorporated into aconventional or coherent state phase space path integral * An extension of the books principal discussion into the realm of quantum field theory w
Note:Springer eBooks
Contents:Preface
Introduction
Part I: Stochastic Theory
Probability
Infinite
Dimensional Integrals
Stochastic Variable Theory
Part II: Quantum Theory
Background to an Analysis of Quantum Mechanics
Quantum Mechanical Path Integrals
Coherent State Path Integrals
Continuous
Time Regularized Path Integrals
Classical and Quantum Constraints
Part III: Quantum Field Theory
Application to Quantum Field Theory
A Modern Approach to Nonrenormalizable Models
References
Index
ISBN:9780817647919
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Quantum theory
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Call number:SPRINGER-2011-9780817647155:ONLINE Show nearby items on shelf
Title:An Introduction to Tensors and Group Theory for Physicists [electronic resource]
Author(s): Nadir Jeevanjee
Date:2011
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
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Note:An Introduction to Tensors and Group Theory for Physicists provides bothan intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystifytensors and provide a unif ied framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics calculations with the abstract but more conceptual formulationfound in many mathematical texts, the work will be a welcome addition to the literature on tensors and group theory. Part I of the text begins with linear algebraic foundations, follows with the modern component-free definition oftensors, and concludes with applications to classical and quantum physics th rough the use of tensor products. Part II introduces abstract groups along with matrix Lie groups and Lie algebras, then intertwines this material with that ofPart I by introducing representation theory.Exercises and examplesare provided throughout for go od practice in applying the presented definitions and techniques. Advanced undergraduate and graduate students in physics and appliedmathematics will find clarity and insight into the subject in this textbook
Note:Springer eBooks
Contents:PartI Linear Algebra and Tensors
A Quick Introduction to Tensors
Vector Spaces
Tensors
Part II Group Theory
Groups, Lie Groups, and Lie Algebras
Basic Representation Theory
The Winger
Echart Theorem and Other Applications
Appendix Complexifications of Real Lie Algebras and the Tensor Product Decomposition of sl(2,C)R
References
Index
ISBN:9780817647155
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Quantum theory , Mathematical physics
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Call number:SPRINGER-2010-9789048137374:ONLINE Show nearby items on shelf
Title:Solar Neutrons and Related Phenomena [electronic resource]
Author(s): Lev Dorman
Date:2010
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
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Note:This book presents the first comprehensive compilation and review of the extensive body of experimental and theoretical material on solar neutrons and related phenomena published in the scientific literature over the last sixtyyears. Phenomena relate d to solar neutrons are more specifically: the decay products of solar neutrons solar gamma rays generated in processes like nuclear reactions between solar energetic charged particles and matter of the solaratmosphere, as well as by the capture of solar neutrons by hydrogen atoms in the solar atmosphere the propagation of solar neutrons, solar gamma rays and other secondary particles through the solar photosphere, chromosphere and corona,as well as through interplanetary space and through the Earth's atm osphere. Models and simulations of particle acceleration, interactions, and propagation processes show that observations of solar neutrons and gamma rays in space andin the Earth's atmosphere yield essential and unique information on the source function o f energetic solar particles, as well as on the chemical composition and density distribution of plasma in the solar atmosphere. The resultsdescribed in the book may also be useful for astrophysical studies of other stars and different astrophysical object s, as well as for space weather problems. The book will serve as a reference work for researchers and students in solarphysics, plasma, neutron, and gamma ray physics, as well as in cosmic ray physics, space science, geophysics and those researching space weather problems
Note:Springer eBooks
Contents:Preface
Acknowledgements
Frequently used Abbreviations and Notations
Chapter 1. Charged, Accelerated Particle Interactions in the Solar Atmosphere, and the Generation of Secondary Energetic Particles and Radiations: Pioneer Results
Chapter 2. The Events of August 1972 and the Discovery of Solar Gamma
Radiation
Chapter 3. The Events of the June 1980 and June 1982, and the Discovery of Solar Neutrons
Chapter 4. Space Probe Observations of Solar Neutron Events
Chapter 5. Solar Neutron Propagation in the Earth's Atmosphere, and the Sensitivity of Neutron Monitors and other Gro
ISBN:9789048137374
Series:e-books
Series:SpringerLink (Online service)
Series:Astrophysics and Space Science Library, 0067-0057 : v365
Series:Physics and Astronomy (Springer-11651)
Keywords: Physical geography , Astrophysics , Nuclear physics
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Call number:SPRINGER-2010-9783642119149:ONLINE Show nearby items on shelf
Title:Quantum Information, Computation and Cryptography [electronic resource] : An Introductory Survey of Theory, Technology and Experiments
Author(s): Fabio Benatti
Mark Fannes
Roberto Floreanini
Dimitri Petritis
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:This multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is necessary. Consequently, rather than comprehensively reviewing the vast body ofknowledge and literature gathered in the past twenty years, this book concentrates on a number of carefully selected aspects of quantum information theory and technology. Given the highly interdisciplinary nature of the subject, themulti-authored approach brings together differen t points of view from various renowned experts, providing a coherent picture of the subject matter. The book consists of ten chapters and includes examples, problems, and exercises. Thefirst five present the mathematical tools required for a full comprehe nsion of various aspects of quantum mechanics, classical information, and coding theory. Chapter 6 deals with the manipulation and transmission of information in thequantum realm. Chapters 7 and 8 discuss experimental implementations of quantum informatio n ideas using photons and atoms. Finally, chapters 9 and 10 address ground-breaking applications in cryptography and computation
Note:Springer eBooks
Contents:Hilbert Space Methods for Quantum Mechanics
Classical Information Theory
Quantum Probablity and Quantum Information Theory
Bipartite Quantum Entanglement
Field
Theoretical Methods
Index
ISBN:9783642119149
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v808
Series:Physics and Astronomy (Springer-11651)
Keywords: Coding theory , Quantum theory , Mathematical physics
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Call number:SPRINGER-2010-9781441910448:ONLINE Show nearby items on shelf
Title:The Physics of Proteins [electronic resource] An Introduction to Biological Physics and Molecular Biophysics
Author(s): Hans Frauenfelder
Shirley S Chan
Winnie S Chan
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:Physics and the life sciences have established new connections within the past few decades, resulting in biological physics as an established subfield with strong groups working in many physics departments. These interactionsbetween physics and biolo gy form a two-way street with physics providing new tools and concepts for understanding life, while biological systems can yield new insights into the physics of complex systems. To address the challenges ofthis interdisciplinary area, The Physics of Pro teins: An Introduction to Biological Physics and Molecular Biophysics is divided into three interconnected sections. In Parts I and II, early chapters introduce the terminology anddescribe the main biological systems that physicists will encounter. Simila rities between biomolecules, glasses, and solids are stressed with an emphasis on the fundamental concepts of living systems. The central section (Parts III andIV) delves into the dynamics of complex systems. A main theme is the realization that biologica l systems, in particular proteins, do not exist in unique conformations but can assume a very large number of slightly different structures.This complexity is captured in the concept of a free energy landscape and leads to the conclusion that fluctuations are crucial for the functioning of biological systems. The final chapter of this section challenges the reader to applythese concepts to a problem that appears in the current literature. An extensive series of appendices (Part V) provide descriptions of the key physical tools and analytical methods that have proven powerful in the study of the physicsof proteins. The appendices are designed to be consulted throughout the section on protein dynamics without breaking the deductive flow of the logic in the central section of the book
Note:Springer eBooks
Contents:Part I: Biomolecules
The Hierarchy of Living Things
Information and Function
Biomolecules, Spin Glasses, Glasses, and Solids
Proteins
Nucleic Acids
The Genetic Code
Lipids and Membranes
Part II: Spatial Structure of Proteins: Measurementand Consequence
Scattering of Photons for Imaging: Diffraction and Microscopy
X
Ray Diffraction
Pulsed Nuclear Magnetic Resonance and Molecular Structure Determination in Solution
The Secondary Structure
Tertiary Structure of Proteins
Myoglobin and Hemoglobin
Part III: The Entergylandscape and Dynamics of Proteins
ISBN:9781441910448
Series:e-books
Series:SpringerLink (Online service)
Series:Biological and Medical Physics, Biomedical Engineering, 1618-7210
Series:Physics and Astronomy (Springer-11651)
Keywords: Medicine , Biochemistry , Proteomics , Biomedical engineering
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Call number:SPRINGER-2010-9780817647179:ONLINE Show nearby items on shelf
Title:Introduction to Quantum Groups [electronic resource]
Author(s): George Lusztig
Date:2010
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
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Note:The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. It is shown that these algebras have natural integral forms that can be specializedat roots of 1 and yiel d new objects, which include quantum versions of the semi-simple groups over fields of positive characteristic. The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of thetheory are provided with canonical bases h aving rather remarkable properties. This book contains an extensive treatment of the theory of canonical bases in the framework of perverse sheaves. The theory developed in the book includesthe case of quantum affine enveloping algebras and, more generall y, the quantum analogs of the KacMoody Lie algebras. Introduction to Quantum Groups will be of interest to mathematicians working in the representation theory of Liegroups and Lie algebras, knot theorists, theoretical physicists, and graduate students. Si nce large parts of the book are independent of the theory of perverse sheaves, the work may also be used as a textbook.**************************************** There is no doubt that this volume is a very remarkable piece of work...Its appearance represen ts a landmark in the mathematical literature. Bulletin of the London Mathematical Society Thisbook is an important contribution to the field and can be recommended especially to mathematicians working in the field. EMS Newsletter The present book gives a very efficient presentation of an important part of quantum grouptheory. It is a valuable contribution to the literature. Mededelingen van het Wiskundig Lusztig's book is very well written and seems to be flawless...Obviously, this will be the standard re ference book for the material presentedand anyone interested in the DrinfeldJimbo algebras will have to study it very carefully. ZAA [T]his book is much more than an 'introduction to q
Note:Springer eBooks
Contents:Preface
Part I: The Drinfeld
Jimbo Algebra U
Part II: Geometric Realization of f
Part III: Kashiwaras Operators and Applications
Part IV: Canonical Basis of U
Part V: Change of Rings
Part VI: Braid Group Action
Index of Notation
Index of Terminology
ISBN:9780817647179
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Topological Groups , Quantum theory , Mathematical physics
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Call number:SPRINGER-2009-9789048127641:ONLINE Show nearby items on shelf
Title:Mechanical Systems, Classical Models [electronic resource] : Volume III: Analytical Mechanics
Author(s): Petre P Teodorescu
Date:2009
Edition:1
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This third volume completes the Work Mechanical Systems, Classical Models. The first two volumes dealt with particle dynamics and with discrete and continuous mechanical systems. The present volume studies analytical mechanics.Topics like Lagrangian and Hamiltonian mechanics, the Hamilton-Jacobi method, and a study of systems with separate variables are thoroughly discussed. Also included are variational principles and canonical transformations, integralinvariants and exterior differential calculus, and particular attention is given to non-holonomic mechanical systems. The author explains in detail all important aspects of the science of mechanics, regarded as a natural science, andshows how they are useful in understanding important natural phenomen a and solving problems of interest in applied and engineering sciences. Professor Teodorescu has spent more than fifty years as a Professor of Mechanics at theUniversity of Bucharest and this book relies on the extensive literature on the subject as well as the author's original contributions. Audience: scientists and researchers in applied mathematics, physics and engineering
Note:Springer eBooks
ISBN:9789048127641
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematical and Analytical Techniques with Applications to Engineering, 1559-7458
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics , Mechanics
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