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Call number: | 9783319496825:ONLINE Show nearby items on shelf |
Title: | Theory of Gravitational Interactions |
Author(s): |
Maurizio Gasperini |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XVII, 373 p. 14 illus p.) |
Contents: | Elementary Notions of Relativistic Field Theory -- Towards a Relativistic Theory of Gravity -- Tensor Calculus in a Riemann Manifold -- Maxwell Equations and Riemann Geometry -- Test Bodies and Signals in a Riemann Space–Time -- |
Geodesic Deviation and Curvature Tensor -- The Einstein Equations for the Gravitational Field -- The Weak-Field Approximation -- Gravitational Waves -- The Schwarzschild Solution -- The Kasner Solution -- Vierbeins and Lorentz | |
Connection -- The Dirac Equation in a Gravitational Field -- Supersymmetry and Supergravity -- Appendix A The Language of Differential Forms -- Appendix B Higher-Dimensional Gravity -- References -- Index | |
ISBN: | 9783319496825 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Mathematical physics , Quantum field theory , String theory , Gravitation , Cosmology , Physics , Classical and Quantum Gravitation, Relativity Theory , Quantum Field Theories, String Theory , Cosmology , Mathematical Physics |
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Call number: | SPRINGER-2016-9783319299778:ONLINE Show nearby items on shelf |
Title: | The Callias Index Formula Revisited |
Author(s): |
Fritz Gesztesy |
Date: | 2016 |
Size: | 1 online resource (192 p.) |
Note: | 10.1007/978-3-319-29977-8 |
Contents: | Introduction.-Notational Conventions -- Functional Analytic -- On Schatten–von Neumann Classes and Trace Class -- Pointwise Estimates for Integral Kernels -- Dirac-Type -- Derivation of the Trace Formula – The Trace Class Result -- Derivation o f the Trace Formula – Diagonal Estimates -- The Case n = 3 -- The Index Theorem and Some Consequences -- Perturbation Theory for the Helmholtz Equation -- The Proof of Theorem 10.2: The Smooth Case -- The Proof of Theorem 10.2: The General Case -- A Par ticular Class of Non-Fredholm Operators L and Their Generalized Witten Index -- A: Construction of the Euclidean Dirac Algebra -- B: A Counterexample to [22, Lemma 5] -- References -- Index |
ISBN: | 9783319299778 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 2157 |
Keywords: | Mathematics , Functional analysis , Operator theory , Partial differential equations , Mathematics , Partial Differential Equations , Operator Theory , Functional Analysis |
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Call number: | SPRINGER-2016-9783319291161:ONLINE Show nearby items on shelf |
Title: | Noncommutative Analysis, Operator Theory and Applications |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (2 p.) |
Note: | 10.1007/978-3-319-29116-1 |
Contents: | Preface -- Pimsner algebras and noncommutative circle bundles -- A fractional Dirac operator -- On the Sylvester equation over quaternions -- The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Ope rators -- Clifford-Hermite polynomials in fractional Clifford analysis -- Negative definite functions on groups with polynomial growth -- An introduction to superoscillatory sequences -- Restriction and factorization for isometric and symmetric operators in almost Pontryagin spaces -- Measurements vs Interactions: tracks in a Wilson cloud chamber -- The radii problems for holomorphic mappings in J∗-algebras -- Lévy Processes on Quantum Permutation Groups -- New results on old spectral triples for fract als -- Why are Orlicz spaces useful for Statistical Physics? |
ISBN: | 9783319291161 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Operator Theory: Advances and Applications: 252 |
Keywords: | Mathematics , Functional analysis , Global analysis (Mathematics) , Manifolds (Mathematics) , Operator theory , Mathematics , Functional Analysis , Operator Theory , Global Analysis and Analysis on Manifolds |
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Call number: | SPRINGER-2014-9783319067612:ONLINE Show nearby items on shelf |
Title: | Relativity and Gravitation [electronic resource] : 100 Years after Einstein in Prague |
Author(s): |
Ji Bik Tom Ledvinka |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem ofgravitation. Before he l eft Prague in July 1912 he had submitted the paper Relativitt und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham in which he remarkably anticipated what a future theory of gravity should looklike. At the occasion of the Einstein-in-Prague cente nary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: Relativity and Gravitation, 100 Years after Einstein inPrague. The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation, and conceptual and historical issues. Theconference attracted over 200 scientists from 31 countries, among them a number of leading experts in the f ield of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts ofcontributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors . Full texts of the plenary talks are included in the volume General Relativity, Cosmology andAstrophysics--Perspectives 100 Years after Einstein in Prague, eds. J. Bik and T. Ledvinka, published also by Springer Verlag |
Contents: | Abstracts of Plenary Talks |
Part I Classical General Relativity | |
Exact Hairy Black Holes | |
Black Hole Formation from a Complete Past for the Einstein | |
Vlasov System | |
How to Measure Deviation from the Kerr Initial Data Recent Progress | |
Hidden Symmetries of the Dirac Equation in Curved Space | |
time | |
Geometrostatics: the Geometry of Static Space | |
times | |
The Gravitational Equation in Higher Dimensions | |
Geometric Inequalities for Black Holes | |
Scalar Fields on anti | |
de Sitter Background | |
Canonical Super energy Tensors in General Relativity: a Reappraisal | |
Einsteins Prague F | |
ISBN: | 9783319067612 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Physics, 0930-8989 : v157 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2014-9783319052540:ONLINE Show nearby items on shelf |
Title: | Trends in Contemporary Mathematics [electronic resource] |
Author(s): |
Vincenzo Ancona Elisabetta Strickland |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book covers a wide spectrum of hot topics and current trends in mathematics, including noncommutative algebra via deformation theory, optimal transportation, nonlinear potential theory,kinetic theory and gas dynamics,geometric numerical integrat ion, finite simple groups of small essential dimension, optimal control problems, extended Dynkin diagrams, spin glasses, aspherical closed manifolds, Boltzmann systems, birational geometry of projectivevarieties and directed graphs, nonlinear diffusion, geometric constructions of extremal metrics on complex manifolds, and Pells equation in polynomials. The book comprises a selection of contributions by leading internationalmathematicians who were speakers at the INdAM Day, an initiative dating back to 20 04 at which the most recent developments in contemporary mathematics are presented |
Contents: | 1 F. Guerra: Interpolation and comparison methods in the mean field spin glass model |
2 A. De Sole, V.G. Kac, D. Valeri: Integrability of dirac reduced Bi | |
Hamiltonian equations | |
3 W. Luck: Some open problems about aspherical closed manifolds abstract | |
4 P. Etingof: Exploring noncommutative algebras via deformation theory | |
5 G. Lancia: Mathematical models and solutions for the analysis of human genotypes | |
6 M. Manetti: Kodaira | |
Spencer formality of products of complex manifolds | |
7 O. Debarre, B. Lass: Monomial transformations of the projective space | |
8 J.L. Vazquez: Progress in the | |
ISBN: | 9783319052540 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer INdAM Series, 2281-518X : v8 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Global analysis (Mathematics) , Differential equations, partial , Computer science Mathematics |
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Call number: | SPRINGER-2014-9783319051796:ONLINE Show nearby items on shelf |
Title: | Quantum Physics of Light and Matter [electronic resource] : A Modern Introduction to Photons, Atoms and Many-Body Systems |
Author(s): |
Luca Salasnich |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The book gives an introduction to the field quantization (second quantization) of light and matter with applications to atomic physics. The first chapter briefly reviews the origins of special relativity and quantum mechanics andthe basic notions of quantum information theory and quantum statistical mechanics. The second chapter is devoted to the second quantization of the electromagnetic field, while the third chapter shows the consequences of the light fieldquantization in the description of electr omagnetic transitions.In the fourth chapter it is analyzed the spin of the electron, and in particular its derivation from the Dirac equation, while the fifth chapter investigates the effects ofexternal electric and magnetic fields on the atomic spectra ( Stark and Zeeman effects). The sixth chapter describes the properties of systems composed by many interacting identical particles by introducing the Hartree-Fock variationalmethod, the density functional theory, and the Born-Oppenheimer approximation. Fin ally, in the seventh chapter it is explained the second quantization of the non-relativistic matter field, i.e. the Schrdinger field, which gives apowerful tool for the investigation of many-body problems and also atomic quantum optics. At the end of each chapter there are several solved problems which can help the students to put into practice the things they learned |
Contents: | From the Contents: The Origins of Modern Physics |
Second Quantization of Light Electromagnetic Transitions | |
The Spin of the Electron | |
Energy Splitting and Shift due to External Fields | |
Many | |
Body Systems | |
Second Quantization of Matter | |
Appendix A Dirac Delta Function | |
Appendix B Fourier Transform | |
Appendix C Laplace Transform | |
Bibliography | |
ISBN: | 9783319051796 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT for Physics, 2198-7882 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2014-9783319003337:ONLINE Show nearby items on shelf |
Title: | Quantum Potential: Physics, Geometry and Algebra [electronic resource] |
Author(s): |
Ignazio Licata Davide Fiscaletti |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Recently the interest in Bohm realist interpretation of quantum mechanics has grown. The important advantage of this approach lies in the possibility to introduce non-locality ab initio, and not as an unexpected host. Inthis bookthe authors give a de tailed analysis of quantum potential, the non-locality term and its role in quantum cosmology and information. The different approaches to the quantum potential are analysed, starting from the originalattempt to introduce a realism of particles trajectori es (influenced by de Broglies pilot wave) to the recent dynamic interpretation provided by Goldstein, Durr, Tumulka and Zangh, and the geometrodynamic picture, with suggestionabout quantum gravity. Finally we focus on the algebraic reading of Hiley and Bi rkbeck school, that analyse the meaning of the non-local structure of the world, bringing important consequences for the space, time and informationconcepts |
Contents: | From the Contents: Quantum Potential |
The Quantum Potential in Schrdinger Equation | |
The Pilot Wave Theory | |
Particles trajectories as the foundation of Bohms mechanics: the nutshell of Drr, Goldstein, Tumulka and Zangh | |
Non | |
Commutative Quantum Geometry and the Algebraic Approach to Non | |
Locality | |
Quantum potential in particle and field theory models | |
Klein Gordon Equation and Bertoldi | |
Faraggi | |
Matone Theory | |
The quantum potential in Bohms approach to the Dirac relativistic quantum mechanics | |
Quantum Potential in Curved Space Field Theory | |
ISBN: | 9783319003337 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SpringerBriefs in Physics, 2191-5423 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2013-9789400755420:ONLINE Show nearby items on shelf |
Title: | Quantum Mechanics: Genesis and Achievements [electronic resource] |
Author(s): |
Alexander Komech |
Date: | 2013 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible formathematicians and other no n-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized(whenever possible) on the basis of the coupled Sch roedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies |
Note: | Springer eBooks |
Contents: | Genesis of Quantum Mechanics |
Heisenbergs Matrix Mechanics | |
Schrdingers Wave Mechanics | |
Lagrangian Formalism | |
Wave Particle Duality | |
The Eigenvalue Problem | |
Atom Radiation | |
Scattering of Light and Particles | |
Atom in Magnetic Field | |
Electron Spin and Pauli Equation | |
Relativistic Quantum Mechanics | |
Electrodynamics and Special Relativity | |
Mathematical Appendices | |
Exercises | |
Index | |
ISBN: | 9789400755420 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Chemistry , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2013-9788847026919:ONLINE Show nearby items on shelf |
Title: | Theory of Gravitational Interactions [electronic resource] |
Author(s): |
Maurizio Gasperini |
Date: | 2013 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This reference textbook is an up-to-date and self-contained introduction to the theory of gravitational interactions. The first part of the book follows the traditional presentation of general relativity as a geometric theory ofthe macroscopic gravit ational field. A second, advanced part then discusses the deep analogies (and differences) between a geometric theory of gravity and the gauge theories of the other fundamental interactions. This fills a gap whichis present in the context of the tradition al approach to general relativity, and which usually makes students puzzled about the role of gravity. The necessary notions of differential geometry are reduced to the minimum, leaving moreroom for those aspects of gravitational physics of current phenom enological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric andhigher-dimensional generalization of the Einstein equations. Theory of Gravitational Interactions will be of particular value to undergraduate students pursuing a theoretical or astroparticle curriculum. It can also be used by thoseteaching related subjects, by PhD students and young researchers working in different scientific sectors but wishing to enlar ge their spectrum of interests, and, in general, by all scholars interested in the modern aspects and problemsof gravitational interaction |
Note: | Springer eBooks |
Contents: | Elementary notions of relativistic field theory |
Towards a relativistic theory of gravity | |
Tensor calculus in a Riemannian manifold | |
Maxwell equations and Riemann geometry | |
Test bodies and signals in a Riemann spacetime | |
Geodesic deviation and curvature tensor | |
The Einstein equations for the gravitational field | |
The weak field approximation | |
Gravitational waves | |
The Schwarzschild solution | |
The Kasner solution | |
Vierbeins and Lorentz connection | |
The Dirac equation in a gravitational field | |
Supersimmetry and supergravity | |
Appendix A. The language of differential forms | |
ISBN: | 9788847026919 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2013-9783642362262:ONLINE Show nearby items on shelf |
Title: | Electroweak Processes in External Active Media [electronic resource] |
Author(s): |
Alexander Kuznetsov Nickolay Mikheev |
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: | Expanding on the concept of the authors previous book ElectroweakProcesses in External Electromagnetic Fields, this new book systematically describes the investigation methods for the effects of external active media,both strong electromagnetic field s and hot dense plasma, in quantum processes. Solving the solar neutrino puzzle in a unique experiment conducted with the help of the heavy-waterdetector at the Sudbery Neutrino Observatory, alongwith another neutrino experiments, brings to the fore elect roweak physics in anactive external medium. It is effectively demonstrated that processes of neutrino interactions with active media of astrophysical objects may lead, undersome physical conditions, to such interesting effects as neutrino-driven shockwave revival in a supernova explosion, acherry stone shooting mechanism for pulsar natal kick, and aneutrino pulsar. It is also shown how poorestimates of particledispersion in external active media sometimes lead to confusion. Thebook will appeal to graduate and post-graduate students of theoreticalphysics with a prior understanding of Quantum Field Theory (QFT) andthe Standard Model of Electroweak Interactions, as well asto specialists in QFT who want to know more about the problems ofquantum phenomena in h ot dense plasma and external electromagnetic fields |
Note: | Springer eBooks |
Contents: | Introduction |
Solutions of the Dirac Equation in an External Electromagnetic Field | |
Propagators of Charged Particles in External Active Media | |
Particle Dispersion inExternal Active Media | |
Electromagnetic Interactions inExternal Active Media | |
Neutrino | |
Electron Interactions in External Active Media | |
Neutrino | |
Photon Interactions inExternal Active Media | |
Conclusion | |
ISBN: | 9783642362262 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Tracts in Modern Physics, 0081-3869 : v252 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2013-9783642345630:ONLINE Show nearby items on shelf |
Title: | Quantum Physics [electronic resource] |
Author(s): |
Florian Scheck |
Date: | 2013 |
Edition: | 2nd ed. 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: | Schecks Quantum Physics presents a comprehensive introductory treatment, ideally suited for a two-semester course. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertaintyrelations to many-body systems. P art Two introduces to relativistic quantum field theory and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises, with solutions orhints, enables the books use as an accompanying text for courses, and also for independent study. For both parts, the necessary mathematical framework is treated in adequate form and detail. The book ends with appendices coveringmathematical fundamentals and enrichment topics, plus selected biographical notes on pioneers of quantum mechanics and quantum field theory. The new edition was thoroughly revised and now includes new sections on quantization using thepath integral method and on deriving generalized path integrals for bosonic and fermionic fields |
Note: | Springer eBooks |
Contents: | From the Uncertainty Relation to Many |
Body Systems | |
Quantum Mechanics of Point Particles | |
Scattering of Particles by Potentials | |
The Principles of Quantum Theory | |
Space | |
Time Symmetries in Quantum Physics | |
Applications of Quantum Mechanics | |
From Symmetries in Quantum Physics to Electroweak Interactions | |
Symmetries and Symmetry Groups in Quantum Physics | |
Quantized Fields and their Interpretation | |
Scattering Matrix and Observables in Scattering and Decays | |
Particles with Spin 1/2 and the Dirac Equation | |
Elements of Quantum Electrodynamics and Weak Interactions | |
ISBN: | 9783642345630 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2013-9783642306907:ONLINE Show nearby items on shelf |
Title: | Quantum Physics Without Quantum Philosophy [electronic resource] |
Author(s): |
Detlef Drr Sheldon Goldstein Nino Zangh |
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: | It has often been claimed that without drastic conceptual innovations a genuine explanation of quantum interference effects and quantum randomness is impossible. This book concerns Bohmian mechanics, a simple particle theory thatis a counterexample t o such claims. The gentle introduction and other contributions collected here show how the phenomena of non-relativistic quantum mechanics, from Heisenberg's uncertainty principle to non-commuting observables,emerge from the Bohmian motion of particles, t he natural particle motion associated with Schrdinger's equation. This book will be of value to all students and researchers in physics with an interest in the meaning of quantum theoryas well as to philosophers of science |
Note: | Springer eBooks |
Contents: | Quantum Equilibrium and the Origin of Absolute Uncertainty |
Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory | |
Quantum Philosophy: The Flight from Reason in Science | |
Seven Steps Towards the Classical World | |
On the Quantum Probability Flux Through Surfaces | |
On the Weak Measurement of Velocity in Bohmian Mechanics | |
Topological Factors Derived From Bohmian Mechanics | |
Hypersurface Bohm | |
Dirac Models | |
Bohmian Mechanics and Quantum Field Theory | |
Quantum Spacetime Without Observers | |
Reality and the Role of the Wave Function in Quantum Theory | |
ISBN: | 9783642306907 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science Philosophy , Quantum theory |
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Call number: | SPRINGER-2013-9781461440451:ONLINE Show nearby items on shelf |
Title: | Quantum Plasmadynamics [electronic resource] : Magnetized Plasmas |
Author(s): |
Donald Melrose |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The covariant (4-tensor) theory for relativistic quantum plasmas presented in the first volume is generalized to magnetized plasma in this second volume. The firstfour chapters areconcerned with classical theory, includingcovariant forms of cold-plas ma, MHD and kinetic theory and the theory of gyromagnetic emission. The response 4-tensor for an arbitrary distribution is evaluated, using both the forward-scattering and Vlasov methods, applied to arelativistic thermal distribution and used to discuss w ave dispersion in relativistic magnetized plasmas. In the second half of the book, solutions of Dirac's equation for a magnetized electron are used to develop a magnetizedversion of QED. This form of QED is applied to gyromagnetic processes, the response of the magnetized vacuum and the response of a magnetized electron gas. The theory has a potentially wide range of applications, such as super-strongmagnetic fields in pulsars, high-powered lasers and spin-dependence in a laboratory electron gas |
Note: | Springer eBooks |
Contents: | Preface |
Chapter 1: Covariant Fluid Models for Magnetized Plasmas | |
Chapter 2: Response Tensors for Magnetized Plasmas | |
Chapter 3: Waves in Magnetized Plasmas | |
Chapter 4: Gyromagnetic Processes | |
Chapter 5: Magnetized Dirac Electron | |
Chapter 6: Quantum Theory of Gyromagnetic Processes | |
Chapter 7: Second Order Gyromagnetic Processes | |
Chapter 8: Magnetized Vacuum | |
Chapter 9: Response of Magnetized Electron Gas | |
Appendix A: Special Functions | |
Index | |
ISBN: | 9781461440451 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v854 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2012-9783642328589:ONLINE Show nearby items on shelf |
Title: | Topological Insulators [electronic resource] : Dirac Equation in Condensed Matters |
Author(s): |
Shun-Qing Shen |
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: | Topological insulatorsare insulating in the bulk, but process metallic states around its boundary owing to the topological origin of the band structure. The metallic edge or surface states are immune to weak disorder orimpurities, and robust against the deformation of the system geometry. This book, Topological insulators, presents a unified description of topological insulators from one to three dimensions based on the modified Dirac equation. Aseries of solutions of the bound states near the bounda ry are derived, and the existing conditions of these solutions are described. Topological invariants and their applications to a variety of systems from one-dimensionalpolyacetalene, to two-dimensional quantum spin Hall effect and p-wave superconductors, and three-dimensional topological insulators and superconductors or superfluids are introduced, helping readers to better understand thisfascinating new field. This book is intended for researchers and graduate students working in the field of topological insulators and related areas. Shun-Qing Shen is a Professor at the Department of Physics, the University of HongKong, China |
Note: | Springer eBooks |
Contents: | Introduction |
Starting fromthe Dirac equation | |
Minimal lattice model for topological insulator | |
Topological invariants | |
Topological phases in one dimension | |
Quantum spin Hall effect | |
Three dimensional topological insulators | |
Impurities and defects in topological insulators | |
Topological superconductors and superfluids | |
Majorana fermions in topological insulators | |
Topological Anderson Insulator | |
Summary: Symmetry and Topological Classification | |
ISBN: | 9783642328589 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Solid-State Sciences, 0171-1873 : v174 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Optical materials |
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Call number: | SPRINGER-2012-9783642293788:ONLINE Show nearby items on shelf |
Title: | Fundamentals of Quantum Physics [electronic resource] : Textbook for Students of Science and Engineering |
Author(s): |
Pedro Pereyra |
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: | This book presents a comprehensive course of quantum mechanics for undergraduate and graduate students. After a brief outline of the innovative ideas that lead up to the quantum theory, the book reviews properties of theSchrdinger equation, the quant ization phenomena and the physical meaning of wave functions. The book discusses, in a direct and intelligible style, topics of the standard quantum formalism like the dynamical operators and theirexpected values, the Heisenberg and matrix representation, the approximate methods, the Dirac notation, harmonic oscillator, angular momentum and hydrogen atom, the spin-field and spin-orbit interactions, identical particles andBose-Einstein condensation etc. Special emphasis is devoted to study the tunneling ph enomena, transmission coefficients, phase coherence, energy levels splitting and related phenomena, of interest for quantum devices andheterostructures. The discussion of these problems and the WKB approximation is done using the transfer matrix method, i ntroduced at a tutorial level. This book is a textbook for upper undergraduate physics and electronic engineeringstudents |
Note: | Springer eBooks |
Contents: | From the contents: The origin of the quantum concepts |
Problems | |
Diffraction, duality and the Schroedinger equations | |
Illustrative problems | |
Problems | |
Properties of the stationary Schroedinger equation | |
Illustrative problems | |
Problems | |
Tunneling effect and other quantum phenomena | |
Problems | |
Quantum coherence and energy bands | |
Problems | |
The WKB approximation | |
Problems | |
Operators and dynamical variables | |
Problems | |
The harmonic oscillator | |
Problems | |
Angular momentum and central potentials | |
ISBN: | 9783642293788 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2011-9789400719170:ONLINE Show nearby items on shelf |
Title: | Wave Equations in Higher Dimensions [electronic resource] |
Author(s): |
Shi-Hai Dong |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory andRelativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as to put all current mathematical and physical concepts and techniques at the readers disposal. Acomprehensive description of quantum wave equations in highe r dimensions and their broad range of applications in quantum mechanics is provided, which complements the traditional coverage found in the existing quantum mechanicstextbooks and gives scientists a fresh outlook on quantum systems in all branches of phy sics. In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higherdimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativis tic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem andthe generalized hypervirial theorem in higher dimensions, the Schrdinger equation with position-dependent mass and the Kaluza-Klei n theory in higher dimensions are investigated. In this context, the dependence of the energy levels onthe dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography |
Note: | Springer eBooks |
Contents: | Part I (Introduction) |
Part II (Theory) | |
2. Special orthogonal groups (Introduction Abstract groupsOrthogonal group SO(n) Tensor representations of the SO(n) \Gamma matrix groups Spinor representations of the SO(n) Concluding remarks) | |
3. Rotational symmetry and Schrdinger equation in N | |
dimensional space (Introduction Rotation operator Orbital angular momentum operators The linear momentum operatorsRadial momentum operator Spherical harmonic polynomials Schrdinger equation for a two | |
body system Concluding remarks) | |
4. Dirac equation in higher dimensions (Introduction | |
ISBN: | 9789400719170 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Functional equations , Quantum theory |
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Call number: | SPRINGER-2011-9783642191992:ONLINE Show nearby items on shelf |
Title: | Quantum Mechanics in the Geometry of Space-Time [electronic resource] : Elementary Theory |
Author(s): |
Roger Boudet |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can bereformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the number i in quantum mechanics. Next, it is examined in some detail how electroweak theory can be integrated into the Dirac theory andthis way interpreted in terms of space-time geometry. Finally, some implications for quantum electrodynamics are considered.The presentation of real quantum electromagnetism is expressed in an addendum. The book covers both the use ofthe complex and the real languages and allows the reader acquainted with th e first language to make a step by step translation to the second one |
Note: | Springer eBooks |
Contents: | Introduction |
Comparison between Complex and Real Algebraic Languages | |
The Clifford Algebra Associated with the Minkowski Space | |
Time M | |
Comparison between Real and Complex Languages | |
The U(1) Gauge in Complex and Real Languages | |
Geometrical Properties and Relation with the Spin and the Energy of a Particle of Spin 1/2 | |
Geometrical Properties of the U(1) Gauge | |
Relation between the U(1) Gauge, the Spin and the Energyof a Particle of Spin 1/2 | |
Geometrical Properties of the Dirac Theory of the Electron | |
The Dirac Theory of the Electron in the Real Language | |
The Invariant Form o | |
ISBN: | 9783642191992 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Physics |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics |
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Call number: | SPRINGER-2011-9781441983091:ONLINE Show nearby items on shelf |
Title: | Relativistic Many-Body Theory [electronic resource] : A New Field-Theoretical Approach |
Author(s): |
Ingvar Lindgren |
Date: | 2011 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Relativistic Many-Body Theory treats for the first time the combination of relativistic atomic many-body theory with quantum-electrodynamics (QED) in a unified manner. This book can be regarded as a continuation of thebook by Lindgren and Morrison, Atomic Many-Body Theory (Springer 1986), which deals with the non-relativistic theory of many-electron systems, describing several means of treating the electron correlation to essentially all orders ofperturbation theory. The treatment of the present bo ok is based upon quantum-field theory, and demonstrates that when the procedure is carried to all orders of perturbation theory, two-particle systems are fully compatible with therelativistically covariant Bethe-Salpeter equation. This procedure can be ap plied to arbitrary open-shell systems, in analogy with the standard many-body theory, and it is also applicable to systems with more than two particles.Presently existing theoretical procedures for treating atomic systems are, in several cases, insufficie nt to explain the accurate experimental data recently obtained, particularly for highly charged ions. This shortcoming is expectedto be due to omission of combined QED-correlational effects, included in the new unified procedure. All methods treated in Re lativistic Many-Body Theory are illustrated with numerical examples. The main text is divided into threeparts. In Part I, the standard time-independent and time-dependent perturbation procedures are reviewed. Part II describes three methods for QED calcul ations, a) the standard S-matrix formulation, b) the Two-times Greens-functionmethod, developed by the St Petersburg Atomic Theory group, and c) the Covariant-evolution-operator (CEO) method, recently developed by the Gothenburg Atomic Theory group. In Pa rt III, the CEO method is combined with electroncorrelation to arbitrary order to a unified MBPT-QED procedure. In this procedure the electron correlation can be included to high order, and |
Note: | Springer eBooks |
Contents: | Introduction |
Time | |
independent formalism | |
Time | |
dependent formalism | |
S | |
matrix | |
Greens functions | |
Covariant evolution operator and Greens operator | |
Numerical illustrations to Part II | |
Covariant evolution combined with electron correlation | |
The Bethe | |
Salpeter equation | |
Implementation of the MBPT | |
QED procedure with numerical results | |
Analytical treatment of the Bethe | |
Salpeter equation | |
Regularization and renormalization | |
Summary and Conclusions | |
Notations and definitions | |
Second quantization | |
Representations of states and operators | |
Dirac equation and the mome | |
ISBN: | 9781441983091 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series on Atomic, Optical, and Plasma Physics, 1615-5653 : v63 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2009-9783764398989:ONLINE Show nearby items on shelf |
Title: | Analysis, Partial Differential Equations and Applications [electronic resource] : The Vladimir Mazya Anniversary Volume |
Author(s): |
Alberto Cialdea Paolo Emilio Ricci Flavia Lanzara |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume includes several invited lectures given at the International Workshop Analysis, Partial Differential Equations and Applications, held at the Mathematical Department of Sapienza University of Rome, on the occasionof the 70th birthday of Vl adimir G. Maz'ya, a renowned mathematician and one of the main experts in the field of pure and applied analysis. The book aims at spreading the seminal ideas of Maz'ya to a larger audience in faculties ofsciences and engineering. In fact, all articles we re inspired by previous works of Maz'ya in several frameworks, including classical and contemporary problems connected with boundary and initial value problems for elliptic, hyperbolicand parabolic operators, Schrdinger-type equations, mathematical theory of elasticity, potential theory, capacity, singular integral operators, p-Laplacians, functional analysis, and approximation theory. Maz'ya is author of morethan 450 papers and 20 books. In his long career he obtained many astonishing and frequently cite d results in the theory of harmonic potentials on non-smooth domains, potential and capacity theories, spaces of functions with boundedvariation, maximum principle for higher-order elliptic equations, Sobolev multipliers, approximate approximations, etc. The topics included in this volume will be particularly useful to all researchers who are interested in achieving adeeper understanding of the large expertise of Vladimir Maz'ya |
Note: | Springer eBooks |
Contents: | On the Occasion of the 70th Birthday of Vladimir Mazya |
Boundary Trace for BV Functions in Regions with Irregular Boundary | |
Dirac Equation as a Special Case of Cosserat Elasticity | |
Hlder and Lipschitz Estimates for Viscosity Solutions of Some Degenerate Elliptic PDEs | |
Criteria for the L p | |
dissipativity of Partial Differential Operators | |
Sharp Estimates for Nonlinear Potentials and Applications | |
Solvability Conditions for a Discrete Model of Schrdingers Equation | |
An Algebra of Shift | |
invariant Singular Integral Operators with Slowly Oscillating Data and Its Applicatio | |
ISBN: | 9783764398989 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operator Theory: Advances and Applications : v193 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Operator theory , Differential equations, partial |
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Call number: | SPRINGER-2009-9783540855507:ONLINE Show nearby items on shelf |
Title: | Relativistic Transitions in the Hydrogenic Atoms [electronic resource] |
Author(s): |
R Boudet |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | When one approaches the study of the quantal relativistic theory of the electron, one may be surprised by the gap which lies between the frame of the experiments, i.e. the real geometry of the space and time, and the abstractionof the complex matrice s and spinors formalism employed in the presentation of the theory. This book uses a theory of the electron, introduced by David Hestenes, in which the mathematical language is the same as the one of the geometryof the space and time. Such a language not only allows one to find again the well known results concerning the one-electron atoms theory but furthermore leads easily to the resolution of problems considered for a long time withoutsolution |
Note: | Springer eBooks |
Contents: | 1. The electromagnetic fields created by time |
sinusoidal current | |
2. The Dirac equation of the electron in the real formalism | |
3. The solutions of the Dirac equation for the central potential in the real formalism | |
4. The Dirac transition currents between two states | |
5. The field at large distance created by the transition currents | |
6. Case of the transitions P1/2 | |
S1/2 and P3/2 | |
S1/2 | |
7. Interaction with an incident wave. The retardation | |
8. Relativistic expression of the matrix elements | |
9. The radial functions of the continuum. 10. Matrix elements for the transitions 1S1/2 | |
con | |
ISBN: | 9783540855507 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series on Atomic, Optical, and Plasma Physics, 1615-5653 : v52 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Molecular structure |
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Call number: | SPRINGER-2009-9783034600040:ONLINE Show nearby items on shelf |
Title: | Applied Pseudoanalytic Function Theory [electronic resource] |
Author(s): |
Vladislav V Kravchenko |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients whichturns out to be closel y related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrdinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid ofcomplex-analytic methods. The book is dedicated to these r ecent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate studentsand researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations |
Note: | Springer eBooks |
Contents: | Pseudoanalytic Function Theory and Second |
order Elliptic Equations | |
Definitions and Results from Bers Theory | |
Solutions of Second | |
order Elliptic Equations as Real Components of Complex Pseudoanalytic Functions | |
Formal Powers | |
Cauchys Integral Formula | |
Complex Riccati Equation | |
Applications to Sturm | |
Liouville Theory | |
A Representation for Solutions of the Sturm | |
Liouville Equation | |
Spectral Problems and Darboux Transformation | |
Applications to Real First | |
order Systems | |
Beltrami Fields | |
Static Maxwell System in Axially Symmetric Inhomogeneous Media | |
Hyperbolic Pseudoan | |
ISBN: | 9783034600040 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Frontiers in Mathematics, 1660-8046 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions of complex variables , Operator theory , Differential equations, partial , Mathematical physics |
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Call number: | SPRINGER-2008-9783540850625:ONLINE Show nearby items on shelf |
Title: | Advanced Quantum Mechanics [electronic resource] |
Author(s): |
Franz Schwabl |
Date: | 2008 |
Edition: | 4 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Advanced Quantum Mechanics, the second volume on quantum mechanics by Franz Schwabl, discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic quantum fields. Characteristic of the authorswork are the comprehensiv e mathematical discussions in which all intermediate steps are derived and where numerous examples of application and exercises help the reader gain a thorough working knowledge of the subject. The topicstreated in the book lay the foundation for advanced studies in solid-state physics, nuclear and elementary particle physics. This text both extends and complements Schwabls introductory Quantum Mechanics, which covers nonrelativisticquantum mechanics and offers a short treatment of the quantization of the radiation field. The fourth edition has been thoroughly revised with new material having been added. Furthermore, the layout of the figures has been unified,which should facilitate comprehension |
Note: | Springer eBooks |
Contents: | Nonrelativistic Many |
Particle Systems | |
Second Quantization | |
Spin | |
1/2 Fermions | |
Bosons | |
Correlation Functions, Scattering, and Response | |
Relativistic Wave Equations | |
Relativistic Wave Equations and their Derivation | |
Lorentz Transformations and Covariance of the Dirac Equation | |
Orbital Angular Momentum and Spin | |
The Coulomb Potential | |
The FoldyWouthuysen Transformation and Relativistic Corrections | |
Physical Interpretation of the Solutions to the Dirac Equation | |
Symmetries and Further Properties of the Dirac Equation | |
Relativistic Fields | |
Quantization of Relativisti | |
ISBN: | 9783540850625 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Quantum theory , Quantum computing |
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Call number: | SPRINGER-2008-9783540770145:ONLINE Show nearby items on shelf |
Title: | Problem Book in Quantum Field Theory [electronic resource] |
Author(s): |
Voja Radovanovi |
Date: | 2008 |
Edition: | Second Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordonand Dirac equations, c lassical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presentedin a systematic and complete manner. The ma terial covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers. The new edition is a correctedpaperback edition for students |
Note: | Springer eBooks |
Contents: | Problems: Lorentz and Poincar Symmetries |
The Klein | |
Gordon Equation | |
The gamma | |
matrices | |
The Dirac Equation | |
Classical Field Theory and Symmetries | |
Green Functions | |
Canonical Quantization of Scalar Field | |
Canonical Quantization of the Dirac Field | |
Canonical Quantization of the Electromagnetic Field | |
Processes in the Lowest Order of Perturbation Theory | |
Renormalization and Regularization | |
Solutions: Lorentz and Poincar Symmetries | |
The Klein | |
Gordon Equation | |
The gamma | |
matrices | |
The Dirac Equation | |
Classical Field Theory and Symmetries | |
Green Functions | |
Canon | |
ISBN: | 9783540770145 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2007-9783764378424:ONLINE Show nearby items on shelf |
Title: | Transport Equations in Biology [electronic resource] |
Author(s): |
Benot Perthame |
Date: | 2007 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purposeis to derive appropr iate mathematical tools and qualitative properties of the solutions (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion). Original mathematical methodsdescribed are, among others, the generalized relative entropy method - a unique method to tackle most of the problems in population biology, the description of Dirac concentration effects using a new type of Hamilton-Jacobi equations,and a general point of view on chemotaxis including various scales of description leading to kinetic, parabolic or hyperbolic equations |
Note: | Springer eBooks |
Contents: | Preface |
1. From Differential Equations to Structured Population Dynamics | |
2. Adaptive Dynamics an Asymptotic Point of View | |
3. Population Balance Equations: the Renewal Equation | |
4. Population Balance Equations: Size Structure | |
5. Cell Motion and Chemotaxis | |
6. General Mathematical Tools | |
Bibliography | |
Index | |
ISBN: | 9783764378424 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Frontiers in Mathematics, 1660-8046 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Biology Mathematics |
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Call number: | SPRINGER-2007-9783540680130:ONLINE Show nearby items on shelf |
Title: | Atomic Structure Theory [electronic resource] : Lectures on Atomic Physics |
Author(s): |
Walter R Johnson |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Atomic Structure Theory is a textbook for students with a background in quantum mechanics. The text is designed to give hands-on experience with atomic structure calculations. Material covered includes angular momentum methods,the central field Schrd inger and Dirac equations, Hartree-Fock and Dirac-Hartree-Fock equations, multiplet structure, hyperfine structure, the isotope shift, dipole and multipole transitions, basic many-body perturbation theory,configuration interaction, and correlation correct ions to matrix elements. Numerical methods for solving the Schrdinger and Dirac eigenvalue problems and the (Dirac)-Hartree-Fock equations are given as well. B-spline basis sets areused to carry out sums arising in higher-order many-body calculations. Ill ustrative problems are provided, together with solutions. FORTRAN programs implementing the numerical methods in the text are included |
Note: | Springer eBooks |
Contents: | Angular Momentum |
Central | |
Field Schrdinger Equation | |
Self | |
Consistent Fields | |
Atomic Multiplets | |
Hyperfine Interaction & Isotope Shift | |
Radiative Transitions | |
to MBPT | |
MBPT for Matrix Elements | |
ISBN: | 9783540680130 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Chemistry , Quantum theory , Molecular structure |
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Call number: | SPRINGER-2007-9783540499725:ONLINE Show nearby items on shelf |
Title: | Quantum Physics [electronic resource] |
Author(s): |
Florian Scheck |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents a comprehensive introduction to quantum physics. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertainty relations to many-body systems. Part Two introduces torelativistic quantum fiel d theory, and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises with solutions, or hints, make the book useful as accompanying text forcourses as well as for independent individual stu dy. For both parts the necessary mathematical framework is treated in adequate form and detail. The book ends with selected biographical notes on pioneers of quantum mechanics andquantum field theory |
Note: | Springer eBooks |
Contents: | Quantum Mechanics of Point Particles |
Scattering of Particles by Potentials | |
The Principles of Quantum Theory | |
Space | |
Time Symmetries in Quantum Physics | |
Applications of Quantum Mechanics | |
Symmetries and Symmetry Groups in Quantum Physics | |
Quantized Fields and their Interpretation | |
Scattering Matrix and Observables in Scattering and Decays | |
Particles with Spin 1/2 Particles and the Dirac Equation | |
Elements of Quantum Electrodynamics and Weak Interactions | |
Appendix | |
Historical Notes | |
Exercises, Hints, and Selected Solutions | |
ISBN: | 9783540499725 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2007-9781402051692:ONLINE Show nearby items on shelf |
Title: | Precisely Predictable Dirac Observables [electronic resource] |
Author(s): |
Heinz Otto Cordes |
Date: | 2007 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This work presents a Clean Quantum Theory of the Electron, based on Diracs equation. Clean in the sense of a complete mathematical explanation of the well known paradoxes of Diracs theory, and a connection toclassical theory, including the motion of a magnetic moment (spin) in the given field, all for a charged particle (of spin ) moving in a given electromagnetic field. This theory is relativistically covariant, and it may be regardedas a mathematically consistent quantum-mechanical generalization o f the classical motion of such a particle, la Newton and Einstein. Normally, our fields are time-independent, but also discussed is the time-dependent case, whereslightly different features prevail. A Schroedinger particle, such as a light quantum, exper iences a very different (time-dependent) Precise Predictablity of Observables. An attempt is made to compare both cases. There is notthe Heisenberg uncertainty of location and momentum rather, location alone possesses a built-in uncertainty of measurement . Mathematically, our tools consist of the study of a pseudo-differential operator (i.e. an observable)under conjugation with the Dirac propagator: such an operator has a symbol approximately propagating along classical orbits, while taking its spin along . This is correct only if the operator is precisely predictable, thatis, it must approximately commute with the Dirac Hamiltonian, and, in a sense, will preserve the subspaces of electronic and positronic states of the underlying Hilbert space. Audience: Theoretical Physicists, specifically in QuantumMechanics. Mathematicians, in the fields of Analysis, Spectral Theory of Self-adjoint differential operators, and Elementary Theory of Pseudo-Differential Operators |
Note: | Springer eBooks |
ISBN: | 9781402051692 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fundamental Theories of Physics : v154 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Quantum computing , Mechanics |
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Call number: | SPRINGER-2007-9780387350691:ONLINE Show nearby items on shelf |
Title: | Relativistic Quantum Theory of Atoms and Molecules [electronic resource] : Theory and Computation |
Author(s): |
I. P Grant |
Date: | 2007 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents a unified approach to modern relativistic theory of the electronic structure of atoms and molecules which will provide experimental and theoretical scientists and graduate students with a range of powerfulcomputational tools for a growing range of physical, chemical, technological and biochemical applications. Starting from its foundations in quantum electrodynamics, the book contains a careful account of relativistic atomic andmolecular structure based on Dirac's relativistic Hami ltonian, and the numerical algorithms implemented by modern computer programs. The relativistic atomic structure code GRASP, which can compute atomic energy levels, radiativetransition rates and other atomic properties using the multiconfigurational Dirac -Hartree-Fock or relativistic configuration interaction methods, is reviewed along with the relativistic R-matrix code DARC, which is used for the highprecision modelling of the interactions of atoms and ions with photons and electrons. The recently devel oped BERTHA relativistic molecular structure code, the first to exploit fully the symmetry properties of Dirac 4-component spinors,provides a new resource for studying the properties of molecules, atomic clusters and other materials, especially those cont aining heavy elements for which a relativistic model is essential |
Note: | Springer eBooks |
Contents: | Relativity in atomic and molecular physics |
Relativity in atomic and molecular physics | |
Foundations | |
Relativistic wave equations for free particles | |
The Dirac Equation | |
Quantum electrodynamics | |
Computational atomic and molecular structure | |
Analysis and approximation of Dirac Hamiltonians | |
Complex atoms | |
Computation of atomic structures | |
Computation of atomic properties | |
Continuum processes in many | |
electron atoms | |
Molecular structure methods | |
Relativistic calculation of molecular properties | |
Frequently used formulae and data | |
Frequently used formulae and data | |
Su | |
ISBN: | 9780387350691 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series on Atomic, Optical, and Plasma Physics, 1615-5653 : v40 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Molecular structure |
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Call number: | SPRINGER-2006-9783540290636:ONLINE Show nearby items on shelf |
Title: | Problem Book in Quantum Field Theory [electronic resource] |
Author(s): |
Voja Radovanovic |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordonand Dirac equations, c lassical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presentedin a systematic and complete manner. The ma terial covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers |
Note: | Springer eBooks |
Contents: | Problems: Lorentz and Poincar Symmetries |
The Klein | |
Gordon Equation | |
The gamma | |
matrices | |
The Dirac Equation | |
Classical Field Theory and Symmetries | |
Green Functions | |
Canonical Quantization of Scalar Field | |
Canonical Quantization of the Dirac Field | |
Canonical Quantization of the Electromagnetic Field | |
Processes in the Lowest Order of Perturbation Theory | |
Renormalization and Regularization | |
Solutions: Lorentz and Poincar Symmetries | |
The Klein | |
Gordon Equation | |
The gamma | |
matrices | |
The Dirac Equation | |
Classical Field Theory and Symmetries | |
Green Functions | |
Canon | |
ISBN: | 9783540290636 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2006-9781402045189:ONLINE Show nearby items on shelf |
Title: | Isodual Theory of Antimatter [electronic resource] : with applications to Antigravity, Grand Unification and Cosmology |
Author(s): |
Ruggero Maria Santilli |
Date: | 2006 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Antimatter, already conjectured by A. Schuster in 1898, was actually predicted by P.A.M. Dirac in the late 19-twenties in the negative-energy solutions of the Dirac equation. Its existence was subsequently confirmed via theWilson chamber and became a n established part of theoretical physics. Dirac soon discovered that particles with negative energy do not behave in a physically conventional manner, and he therefore developed his hole theory. Thisrestricted the study of antimatter to the sole level of second quantization. As a result antimatter created a scientific imbalance, because matter was treated at all levels of study, while antimatter was treated only at the level ofsecond quantization. In search of a new mathematics for the resolution of this imbalance the author conceived what we know today as Santillis isodual mathematics, which permitted the construction of isodual classical mechanics,isodual quantization and isodual quantum mechanics. The scope of this monograph is to show that our classi cal, quantum and cosmological knowledge of antimatter is at its beginning with much yet to be discovered, and that a commitmentto antimatter by experimentalists will be invaluable to antimatter science |
Note: | Springer eBooks |
Contents: | ISODUAL THEORY OF POINT |
LIKE ANTIPARTICLES | |
LIE | |
ISOTOPIC AND LIE | |
ADMISSIBLE TREATMENTS OF EXTENDED PARTICLES AND THEIR ISODUALS FOR EXTENDED ANTIPARTICLES | |
ANTIGRAVITY AND SPACETIME MACHINES | |
GRAND | |
UNIFICATION AND COSMOLOGY | |
ISBN: | 9781402045189 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fundamental Theories of Physics : v151 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Mathematical physics , Astronomy , Nuclear physics |
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Call number: | SPRINGER-2006-9780387284699:ONLINE Show nearby items on shelf |
Title: | Atomic Spectroscopy: Introduction to the Theory of Hyperfine Structure [electronic resource] |
Author(s): |
Anatoli Andreev |
Date: | 2006 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Atomic Spectroscopy provides a comprehensive discussion on the general approach to the theory of atomic spectra, based on the use of the Lagrangian canonical formalism. This approach is developed and applied to explain thehydrogenic hyperfine structu re associated with the nucleus motion, its finite mass, and spin. The non-relativistic or relativistic, spin or spin-free particle approximations can be used as a starting point of general approach. Thespecial attention is paid to the theory of Lamb shift formation. The formulae for hydrogenic spectrum including the account of Lamb shift are written in simple analytical form. The book is of interest to specialists, graduate andpostgraduate students, who are involved into the experimental and theoretical r esearch in the field of modern atomic spectroscopy |
Note: | Springer eBooks |
Contents: | Fine and Hyperfine Structure of Atomic Spectra |
Schrdinger Equation | |
Variational Principle For Schrdinger Equation: Orbital Interaction in Hydrogenlike Atoms | |
Pauli Equation | |
Relativistic Equation for Spin Zero Particle | |
Dirac Equation | |
Theory of Lamb Shift | |
Theory of Spin | |
1/2 Particles Interacting with Electromagnetic Field | |
Particle Motion in Static External Fields | |
Origin of Lamb Shift | |
Hydrogen Atom | |
ISBN: | 9780387284699 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Particles (Nuclear physics) , Engineering |
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Call number: | SPRINGER-2005-9783764373467:ONLINE Show nearby items on shelf |
Title: | Quantum-Statistical Models of Hot Dense Matter [electronic resource] : Methods for Computation Opacity and Equation of State |
Author(s): |
Arnold F Nikiforov Vladimir G Novikov V.B Uvarov |
Date: | 2005 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The widely used theoretical models for calculating properties of hot dense matter are studied in this book. Calculations using the presented formulas and algorithms are illustrated by plots, tables, and also are compared withexperimental results. The purpose is to help understanding atomic physics in hot plasma and in developing efficient and robust computer codes for calculating opacity and equations of state for arbitrary material in a wide range oftemperatures and densities. Key features: - compli cated problems of atomic physics are clearly presented - most parts of the book are accessible to students - models are reduced to formulas and algorithms - emphasis on computationalaspects of the models, in particular on the computation of opacity and th e equations of state for high-temperature plasmas |
Note: | Springer eBooks |
Contents: | Preface |
I. Quantum | |
statistical self | |
consistent field models | |
1. The generalized Thomas | |
Fermi model | |
2. Electron wave functions in a given potential | |
3. Quantum | |
statistical self | |
consistent field models | |
4. The Hartree | |
Fock | |
Slater model for the average atom | |
II. Radiative and thermodynamical properties of high | |
temperature dense plasma | |
5. Interaction of radiation with matter | |
6. The equation of state | |
III. Appendix. Methods for solving the Schrdinger and Dirac equations | |
Bibliography | |
Index | |
ISBN: | 9783764373467 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics : v37 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2005-9783540285281:ONLINE Show nearby items on shelf |
Title: | Advanced Quantum Mechanics [electronic resource] |
Author(s): |
Franz Schwabl |
Date: | 2005 |
Edition: | Third Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Advanced Quantum Mechanics, the second volume on quantum mechanics by Franz Schwabl, discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic fields. Characteristic of Schwabls work, thisvolume features a compell ing mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. Thetreatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. This text extends andcomplements Schwabls introductory Quantum Mechanics, which covers nonrel ativistic quantum mechanics and offers a short treatment of the quantization of the radiation field. New material has been added to this third edition ofAdvanced Quantum Mechanics on Bose gases, the Lorentz covariance of the Dirac equation, and the hole t heory in the chapter Physical Interpretation of the Solutions to the Dirac Equation. |
Note: | Springer eBooks |
Contents: | Nonrelativistic Many |
Particle Systems | |
Second Quantization | |
Spin | |
1/2 Fermions | |
Bosons | |
Correlation Functions, Scattering, and Response | |
Relativistic Wave Equations | |
Relativistic Wave Equations and their Derivation | |
Lorentz Transformations and Covariance of the Dirac Equation | |
Orbital Angular Momentum and Spin | |
The Coulomb Potential | |
The FoldyWouthuysen Transformation and Relativistic Corrections | |
Physical Interpretation of the Solutions to the Dirac Equation | |
Symmetries and Further Properties of the Dirac Equation | |
Relativistic Fields | |
Quantization of Relativisti | |
ISBN: | 9783540285281 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Quantum theory , Quantum computing |
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Call number: | SPRINGER-2005-9780387271279:ONLINE Show nearby items on shelf |
Title: | Advanced Visual Quantum Mechanics [electronic resource] |
Author(s): |
Bernd Thaller |
Date: | 2005 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Advanced Visual Quantum Mechanics is a systematic effort to investigate and to teach quantum mechanics with the aid of computer-generated animations. It is a self-contained textbook that combines selected topics from atomicphysics (spherical symmetry , the hydrogen atom, and particles with spin) with an introduction to quantum information theory (qubits, EPR paradox, teleportation, quantum computers). It explores relativistic quantum mechanics and thestrange behavior of Dirac equation solutions. A ser ies of appendices covers important topics from perturbation and scattering theory. The book places an emphasis on ideas and concepts, with a fair to moderate amount of mathematicalrigor. Though this book stands alone, it can also be paired with Thaller Vi sual Quantum Mechanics to form a comprehensive course in quantum mechanics. The software for the first book earned the European Academic Software Award 2000 foroutstanding innovation in its field |
Note: | Springer eBooks |
Contents: | Spherical Symmetry |
Coulomb Problem | |
Particles with Spin | |
Qubits | |
Composite Systems | |
Quantum Information Theory | |
Relativistic Systems in One Dimension | |
The Dirac Equation | |
ISBN: | 9780387271279 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Mathematical physics , Quantum computing |
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Call number: | SPRINGER-2004-9783662103098:ONLINE Show nearby items on shelf |
Title: | The Atomic Nucleus as a Relativistic System |
Author(s): |
Lev N Savushkin |
Date: | 2004 |
Size: | 1 online resource (350 p.) |
Note: | 10.1007/978-3-662-10309-8 |
Contents: | 1 Introduction -- 2 Relativistic Quantum Mechanics and Fields -- 3 Basic Features of the Meson Theory of Nucleon—Nucleon Interactions -- 4 The Relativistic Mean-Field Approximation for Nuclear Structure -- 5 Electromagnetic |
Interactions of Nucleons in the Relativistic Framework -- 6 The Relativistic Approach to Nucleon—Nucleus Scattering -- 7 Pion Dynamics and Chiral Symmetry -- 8 The Relativistic Hartree—Fock Approach -- 9 Brueckner—Hartree—Fock Methods | |
for Nuclear Matter and Finite Nuclei -- 10 Excited Nuclear States in the Relativistic RPA Method -- 11 The Equation of State of Nuclear Matter for Supernovas and Neutron Stars -- 12 Alternative Relativistic Models -- 13 Some Recent | |
Applications of Relativistic Nuclear Theory -- 14 Summary and Outlook -- A Appendices -- A.1 Four-Dimensional Notation and the Dirac Matrices -- A.2 Properties of the Ground State of Nuclear Matter in the Walecka Model -- A.3 General | |
Form of Local Dirac Equation -- A.4 Equivalent Local Dirac Nuclear Models -- A.5 Nucleon Effective Mass in the Nuclear Medium -- A.7 Boundary Conditions for Wave Functions and Meson Potentials -- A.8 Generalized Weinberg Transformation | |
-- A.9 Expansions of the Vertex Functions for Various Mesons -- A.10 Globally Chirally Invariant Lagrangian for the Model with an Axial Meson -- A.11 Direct and Exchange Matrix Elements for the Two-Body Spin—Orbit Force -- A.12 | |
Hartree—Fock Procedure for the Point-Coupling Model -- References | |
ISBN: | 9783662103098 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Nuclear physics , Heavy ions , Hadrons , Physics , Nuclear Physics, Heavy Ions, Hadrons |
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Call number: | SPRINGER-2004-9783662096499:ONLINE Show nearby items on shelf |
Title: | Quantum-Classical Correspondence Dynamical Quantization and the Classical Limit |
Author(s): |
A. O Bolivar |
Date: | 2004 |
Size: | 1 online resource (190 p.) |
Note: | 10.1007/978-3-662-09649-9 |
Contents: | 1 Towards a Non-Galilean View of Physics -- 2 Some Basics of Stochastic Processes -- 3 Classical Physics -- 4 Quantum Physics -- 5 Classical Limit of Quantum Physics -- 6 Summary and Open Questions -- A Elements of Set Theory -- A.1 |
Definitions -- A.2 Algebraic Structure -- A.3 Borel Field -- A.4 Set Function and Point Function -- B Quantization of the Smoluchowski Equation -- B.1 Constant Force -- B.2 Linear Force -- B.3 General Case -- C Dynamical Quantization | |
Versus Dirac Quantization -- D Dynamical Quantization Versus Feynman Quantization -- E Wigner Representation of Classical Mechanics -- E.1 Dynamics -- E.2 Kinematics -- References | |
ISBN: | 9783662096499 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Probabilities , Quantum physics , Statistical physics , Dynamical systems , Physics , Quantum Physics , Probability Theory and Stochastic Processes , Statistical Physics, Dynamical Systems and Complexity |
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Call number: | SPRINGER-2004-9783662054185:ONLINE Show nearby items on shelf |
Title: | Advanced Quantum Mechanics |
Author(s): |
Franz Schwabl |
Date: | 2004 |
Edition: | Second Edition |
Size: | 1 online resource (406 p.) |
Note: | 10.1007/978-3-662-05418-5 |
Contents: | I. Nonrelativistic Many-Particle Systems -- 1. Second Quantization -- 2. Spin-1/2 Fermions -- 3. Bosons -- 4. Correlation Functions, Scattering, and Response -- II. Relativistic Wave Equations -- 5. Relativistic Wave Equations and |
their Derivation -- 6. Lorentz Transformations and Covariance of the Dirac Equation -- 7. Orbital Angular Momentum and Spin -- 8. The Coulomb Potential -- 9. The Foldy—Wouthuysen Transformation and Relativistic Corrections -- 10. | |
Physical Interpretation of the Solutions to the Dirac Equation -- 11. Symmetries and Further Properties of the Dirac Equation -- III. Relativistic Fields -- 12. Quantization of Relativistic Fields -- 13. Free Fields -- 14. Quantization | |
of the Radiation Field -- 15. Interacting Fields, Quantum Electrodynamics -- A Alternative Derivation of the Dirac Equation -- B Dirac Matrices -- B.1 Standard Representation -- B.2 Chiral Representation -- B.3 Majorana Representations | |
-- C Projection Operators for the Spin -- C.1 Definition -- C.2 Rest Frame -- D The Path-Integral Representation of Quantum Mechanics 385 E Covariant Quantization of the Electromagnetic Field, the Gupta—Bleuler Method -- E.1 | |
Quantization and the Feynman Propagator -- E.2 The Physical Significance of Longitudinal and Scalar Photons -- E.3 The Feynman Photon Propagator -- E.4 Conserved Quantities -- F Coupling of Charged Scalar Mesons to the Electromagnetic | |
Field | |
ISBN: | 9783662054185 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Chemistry, Physical and theoretical , Quantum physics , Quantum computers , Spintronics , Physics , Quantum Physics , Theoretical and Computational Chemistry , Quantum Information Technology, Spintronics |
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Call number: | SPRINGER-2004-9783034878814:ONLINE Show nearby items on shelf |
Title: | Current Trends in Operator Theory and its Applications |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (598 p.) |
Note: | 10.1007/978-3-0348-7881-4 |
Contents: | IWOTA 2002 and Recent Achievements and New Directions in Operator Theory and Applications -- Inverse Scattering Transform, KdV, and Solitons 1 -- The Schur Algorithm for Generalized Schur Functions IV: Unitary Realizations -- Linear |
Systems with Schrödinger Operators and Their Transfer Functions -- Strongly Regular J-Inner Matrix Functions and Related Problems -- Boundary Interpolation for Contractive-valued Functions on Circular Domains in Cn -- On Realizations | |
of Rational Matrix Functions of Several Variables III -- Operator-valued Extension of the Theorem of Nelson and Szegö -- On Super-wavelets -- Fast Algorithms for Toeplitz Least Squares Problems -- Admissibility of Control and | |
Observation Operators for Semigroups: A Survey -- Closed Subspaces which are Attractors for Representations of the Cuntz Algebras -- On the Bessmertnyi Class of Homogeneous Positive Holomorphic Functions of Several Variables -- | |
Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I -- A Generalization of the tan 20 Theorem -- Partly Free Algebras From Directed Graphs -- Uniform Approximation by Solutions of | |
Elliptic Equations and Seminormality in Higher Dimensions -- Direct and Inverse Scattering for Skewselfadjoint Hamiltonian Systems -- Factorization of Block Triangular Matrix Functions in Wiener Algebras on Ordered Abelian Groups -- | |
Semidefinite Invariant Subspaces: Degenerate Inner Products -- On The Dual Spectral Set Conjecture -- II Stochastic Controllability of Linear Interest Rate Models -- On the Generalized Joint Eigenvector Expansion for Commuting Normal | |
Operators -- Dynamics and Stabilization of an Elastic Tape Moving Axially Between Two Sets of Rollers -- Weyl-Titchmarsh Matrix Functions and Spectrum of Non-selfadjoint Dirac Type Equation -- Operator Theory and the Corona Problem on | |
the Bidisk -- Factorization of Polynomials With Estimates of Norms -- The “Action” Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem | |
ISBN: | 9783034878814 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Operator Theory: Advances and Applications : 149 |
Keywords: | Mathematics , Fourier analysis , Operator theory , Applied mathematics , Engineering mathematics , System theory , Mathematics , Operator Theory , Fourier Analysis , Applications of Mathematics , Systems Theory, Control |
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Call number: | SPRINGER-2004-9781461220541:ONLINE Show nearby items on shelf |
Title: | Real and Stochastic Analysis New Perspectives |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (406 p.) |
Note: | 10.1007/978-1-4612-2054-1 |
Contents: | and Outline -- References -- Stochastic Differential Equations and Hypoelliptic Operators -- 1 Introduction -- 2 Integration by parts and the regularity of induced measures -- 3 A Hörmander theorem for infinitely degenerate operators |
-- 4 A study of a class of degenerate functional stochastic differential equations -- 5 Some open problems -- References -- Curved Wiener Space Analysis -- 1 Introduction -- 2 Manifold primer -- 3 Riemannian geometry primer -- 4 Flows | |
and Cartan's development map -- 5 Stochastic calculus on manifolds -- 6 Heat kernel derivative formula -- 7 Calculus on W(M) -- 8 Malliavin's methods for hypoelliptic operators -- 9 Appendix: Martingale and SDE estimates -- References | |
-- Noncommutative Probability and Applications -- 1 Introduction -- 2 Traditional probability theory -- 3 Unsharp traditional probability theory -- 4 Sharp quantum probability -- 5 Unsharp quantum probability -- 6 Effects and | |
observables -- 7 Statistical maps -- 8 Sequential products on Hilbert space -- 9 Quantum operations -- 10 Completely positive maps -- 11 Sequential effect algebras -- 12 Further SEA results -- References -- Advances and Applications of | |
the Feynman Integral -- 1 Introduction -- 2 The operator valued Feynman integral -- 3 Evolution processes -- 4 The Feynman-Kac formula -- 5 Boundedness of processes -- 6 Path integrals on finite sets -- 7 The Dirac equation in one | |
space dimension -- 8 Integration with respect to unbounded set functions -- 9 The Feynman integral with singular potentials -- 10 Quantum field theory -- References -- Stochastic Differential Equations Based on Lévy Processes and | |
Stochastic Flows of Diffeomorphisms -- 1 Stochastic integrals for sernimartingales -- 2 Stochastic analysis of Lévy processes -- 3 Stochastic differential equation and stochastic flow -- 4 Appendix. Kolmogorov's criterion for the | |
continuity of random fields and the uniform convergence of random fields -- References -- Convolutions of Vector Fields-III: Amenability and Spectral Properties -- 1 Introduction -- 2 Elementary Aspects of Random Walks -- 3 Role of the | |
Spectrum of Convolution Operators -- 4 Amenable Function Algebras and Groups -- 5 Spectra of Convolution Operators and Amenability -- 6 Beurling and Segal Algebras for Amenability -- References | |
ISBN: | 9781461220541 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Partial differential equations , Probabilities , Statistics , Mathematics , Analysis , Probability Theory and Stochastic Processes , Functional Analysis , Partial Differential Equations , Statistical Theory and Methods |
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Call number: | SPRINGER-2004-9781461220442:ONLINE Show nearby items on shelf |
Title: | Clifford Algebras Applications to Mathematics, Physics, and Engineering |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (626 p.) |
Note: | 10.1007/978-1-4612-2044-2 |
Contents: | I. Clifford Analysis -- 1. The Morera Problem in Clifford Algebras and the Heisenberg Group -- 2. Multidimensional Inverse Scattering Associated with the Schrödinger Equation -- 3. On Discrete Stokes and Navier—Stokes Equations in the |
Plane -- 4. A Symmetric Functional Calculus for Systems of Operators of Type ? -- 5. Poincaré Series in Clifford Analysis -- 6. Harmonic Analysis for General First Order Differential Operators in Lipschitz Domains -- 7. Paley—Wiener | |
Theorems and Shannon Sampling in the Clifford Analysis Setting -- 8. Bergman Projection in Clifford Analysis -- 9. Quaternionic Calculus for a Class of Initial Boundary Value Problems -- II. Geometry -- 10. A Nahm Transform for | |
Instantons over ALE Spaces -- 11. Hyper-Hermitian Manifolds and Connections with Skew-Symmetric Torsion -- 12. Casimir Elements and Bochner Identities on Riemannian Manifolds -- 13. Eigenvalues of Dirac and Rarita—Schwinger Operators | |
-- 14. Differential Forms Canonically Associated to Even-Dimensional Compact Conformal Manifolds -- 15. The Interface of Noncommutative Geometry and Physics -- III. Mathematical Structures -- 16. The Method of Virtual Variables and | |
Representations of Lie Superalgebras -- 17. Algebras Like Clifford Algebras -- 18. Grade Free Product Formulæ from Grassmann—Hopf Gebras -- 19. The Clifford Algebra in the Theory of Algebras, Quadratic Forms, and Classical Groups -- | |
20. Lipschitz’s Methods of 1886 Applied to Symplectic Clifford Algebras -- 21. The Group of Classes of Involutions of Graded Central Simple Algebras -- 22. A Binary Index Notation for Clifford Algebras -- 23. Transposition in Clifford | |
Algebra: SU(3) from Reorientation Invariance -- IV. Physics -- 24. The Quantum/Classical Interface: Insights from Clifford’s (Geometric) Algebra -- 25. Standard Quantum Spheres -- 26. Clifford Algebras, Pure Spinors and the Physics of | |
Fermions -- 27. Spinor Formulations for Gravitational Energy-Momentum -- 28. Chiral Dirac Equations -- 29. Using Octonions to Describe Fundamental Particles -- 30. Applications of Geometric Algebra in Electromagnetism, Quantum Theory | |
and Gravity -- 31. Noncommutative Physics on Lie Algebras, (?2)n Lattices and Clifford Algebras -- 32. Dirac Operator on Quantum Homogeneous Spaces and Noncommutative Geometry -- 33. r-Fold Multivectors and Superenergy -- 34. The Cl7 | |
Approach to the Standard Model -- V. Applications in Engineering -- 35. Implementation of a Clifford Algebra Co-Processor Design on a Field Programmable Gate Array -- 36. Image Space -- 37. Pose Estimation of Cycloidal Curves by using | |
Twist Representations | |
ISBN: | 9781461220442 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematical Physics : 34 |
Keywords: | Mathematics , Associative rings , Rings (Algebra) , Mathematical analysis , Analysis (Mathematics) , Differential geometry , Physics , Applied mathematics , Engineering mathematics , Mathematics , Differential Geometry , Associative Rings and Algebras , Mathematical Methods in Physics , Analysis , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | SPRINGER-2004-9781402021305:ONLINE Show nearby items on shelf |
Title: | Quantum Mechanics: Theory and Applications |
Author(s): |
Ajoy Ghatak |
Date: | 2004 |
Size: | 1 online resource (864 p.) |
Note: | 10.1007/978-1-4020-2130-5 |
Contents: | I: Mathematical Preliminaries -- 1: The Dirac Delta Function -- 2: Fourier Transforms -- II: Basic Quantum Mechanics -- 3: Particles and Waves and the Uncertainty Principle -- 4: Time Dependent Schrödinger Equation -- 5: Propagation |
of Wave Packets and Concept of Group Velocity -- 6: Bound State Solutions of the Schrödinger Equation -- 7: Linear Harmonic Oscillator: I Solution of the Schrödinger Equation and Relationship with the Classical Oscillator -- 8: | |
One-Dimensional Barrier Transmission Problems -- 9: Angular Momentum I The Spherical Harmonics -- 10: Spherically Symmetric Potentials Hydrogen Atom Problem, Rotation Vibration Spectra, Three-Dimensional Oscillator -- 11: Dirac’s Bra | |
and Ket Algebra -- 12: Linear Harmonic Oscillator II Solutions Using Bra and Ket Algebra -- 13: Angular Momentum II Using Bra and Ket Algebra -- 14: Experiments with Spin Half Particles The Stern-Gerlach Experiment, Larmor Precession | |
and Magnetic Resonance -- 15: Angular momentum III Eigenfunctions Using Operator Algebra -- 16: The Double Well Potential and the Krönig-Penney Model -- 17: The JWKB Approximation -- 18: Addition of Angular Momenta: The Clebsch-Gordan | |
Coefficients -- 19: Time Independent Perturbation Theory -- 20: Effects of Magnetic Field -- 21: The Variational Method -- 22: The Helium Atom and the Exclusion Principle -- 23: Some Select Topics -- 24: Elementary Theory of Scattering | |
-- 25: Time Dependent Perturbation Theory -- 26: The Semi-Classical Theory of Radiation and the Einstein Coefficients -- 27: The Quantum Theory of Radiation and Its Interaction with Matter -- 28: Relativistic Theory -- Appendices | |
ISBN: | 9781402021305 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 137 |
Keywords: | Physics , Quantum physics , Physics , Quantum Physics |
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Call number: | SPRINGER-2004-9780817681661:ONLINE Show nearby items on shelf |
Title: | Analysis of Dirac Systems and Computational Algebra |
Author(s): |
Fabrizio Colombo |
Date: | 2004 |
Size: | 1 online resource (332 p.) |
Note: | 10.1007/978-0-8176-8166-1 |
Contents: | 1 Background Material -- 1.1 Algebraic tools -- 1.2 Analytical tools -- 1.3 Elements of hyperfunction theory -- 1.4 Appendix: category theory -- 2 Computational Algebraic Analysis -- 2.1 A primer of algebraic analysis -- 2.2 The |
Ehrenpreis-Palamodov Fundamental Principle -- 2.3 The Fundamental Principle for hyperfunctions -- 2.4 Using computational algebra software -- 3 The Cauchy-Fueter System and its Variations -- 3.1 Regular functions of one quaternionic | |
variable -- 3.2 Quaternionic hyperfunctions in one variable -- 3.3 Several quaternionic variables: analytic approach -- 3.4 Several quaternionic variables: an algebraic approach -- 3.5 The Moisil-Theodorescu system -- 4 Special First | |
Order Systems in Clifford Analysis -- 4.1 Introduction to Clifford algebras -- 4.2 Introduction to Clifford analysis -- 4.3 The Dirac complex for two, three and four operators -- 4.4 Special systems in Clifford analysis -- 5 Some First | |
Order Linear Operators in Physics -- 5.1 Physics and algebra of Maxwell and Proca fields -- 5.2 Variations on Maxwell system in the space of biquaternions -- 5.3 Properties of DZ-regular functions -- 5.4 The Dirac equation and the | |
linearization problem -- 5.5 Octonionic Dirac equation -- 6 Open Problems and Avenues for Further Research -- 6.1 The Cauchy-Fueter system -- 6.2 The Dirac system -- 6.3 Miscellanea | |
ISBN: | 9780817681661 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematical Physics : 39 |
Keywords: | Mathematics , Algebra , Matrix theory , Partial differential equations , Physics , Mathematics , Algebra , Partial Differential Equations , Linear and Multilinear Algebras, Matrix Theory , Mathematical Methods in Physics , Numerical and Computational Physics |
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Call number: | SPRINGER-2004-9780387217703:ONLINE Show nearby items on shelf |
Title: | Electroweak Processes in External Electromagnetic Fields |
Author(s): |
Alexander Kuznetsov |
Date: | 2004 |
Size: | 1 online resource (120 p.) |
Note: | 10.1007/b97444 |
Contents: | Solutions of the Dirac Equation in an External Electromagnetic Field -- Fermion Propagator in an External Electromagnetic Field -- Generalized Two-Point Loop Amplitude in an External Electromagnetic Field -- Tree-Level Quantum |
Processes in an External Field -- Loop-Level Quantum Processes in an External Electromagnetic Field | |
ISBN: | 9780387217703 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Tracts in Modern Physics: 197 |
Keywords: | Physics , Astrophysics , Elementary particles (Physics) , Quantum field theory , Atoms , Matter , Plasma (Ionized gases) , Physics , Elementary Particles, Quantum Field Theory , Astrophysics and Astroparticles , Atoms and Molecules in Strong Fields, Laser Matter Interaction , Plasma Physics |
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Call number: | SPRINGER-2003-9783642556272:ONLINE Show nearby items on shelf |
Title: | Geometric Analysis and Nonlinear Partial Differential Equations |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (673 p.) |
Note: | 10.1007/978-3-642-55627-2 |
Contents: | Olga Ladyzhenskaya—A Life-Long Devotion to Mathematics -- I. Geometric Analysis and Calculus of Variations -- On the Spectral Theory of Surfaces with Cusps -- The Dirac Determinant of Spherical Space Forms -- Constructing Isospectral |
Metrics via Principal Connections -- Parametrizations of Teichmüller Space and Its Thurston Boundary -- Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in ?4 -- Global C2+?-Estimates for Conformai Maps | |
-- On Karcher’s Twisted Saddle Towers -- Unstable Periodic Discrete Minimal Surfaces -- An Adaptive Finite Element Method for Minimal Surfaces -- Singular Minimal Surfaces -- Note on the Isoperimetric Profile of a Convex Body -- | |
Geometric Conditions on Free Boundaries -- On Generalized Mean Curvature Flow in Surface Processing -- A Finite Element Level Set Method for Anisotropic Mean Curvature Flow with Space Dependent Weight -- Optimal Regularity Results via | |
A-Harmonic Approximation -- Dominance Functions for Parametric Lagrangians -- Convex Variational Problems with Linear Growth -- II. Nonlinear Partial Differential Equations -- Studying Nonlinear pde by Geometry in Matrix Space -- On | |
the Korteweg — de Vries Equation and KAM Theory -- Convergence of Approximate Solutions of Conservation Laws -- Nonlinear Hyperbolic Systems of Generalized Navier-Stokes Type for Interactive Motion in Biology -- On Peak and Periodic | |
Solutions of an Integro-Differential Equation on S1 -- Symmetrizing Measures for Infinite Dimensional Diffusions: An Analytic Approach -- Markov Semigroups and Harmonic Maps -- Boundary Regularity for Nonlinear Elliptic Systems: | |
Applications to the Transmission Problem -- A Particle-Partition of Unity Method — Part V: Boundary Conditions -- On Uniqueness- and Regularity Criteria for the Navier-Stokes Equations -- Problems Due to the No-Slip Boundary in | |
Incompressible Fluid Dynamics -- Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions -- Existence of Strong Solutions for Electrorheological | |
Fluids in Two Dimensions: Steady Dirichlet Problem -- Spinodal Decomposition in the Presence of Elastic Interactions -- Waiting Time Phenomena for Degenerate Parabolic Equations — A Unifying Approach -- The Mathematics of Ostwald | |
Ripening -- Appendix. Color Plates | |
ISBN: | 9783642556272 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Partial differential equations , Mathematics , Partial Differential Equations |
Availability: | Click here to see Library holdings or inquire at
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Call number: | SPRINGER-2003-9781461200116:ONLINE Show nearby items on shelf |
Title: | Partial Differential Equations and Mathematical Physics In Memory of Jean Leray |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (243 p.) |
Note: | 10.1007/978-1-4612-0011-6 |
Contents: | Differential Forms, Cycles and Hodge Theory on Complex Analytic Spaces -- On Exact Solutions of Linear PDEs -- Necessary Conditions for Hyperbolic Systems -- Monodromy of the Ramified Cauchy Problem -- Nonlinear Stability of an |
Expanding Universe with S1Isometry Group -- On the Cauchy Problem for a Weakly Hyperbolic Operator: An Intermediate Case between Effective Hyperbolicy and Levi Condition -- Symplectic Path Intersections and the Leray Index -- A Global | |
Cauchy—Kowalewski Theorem in Some Gevrey Classes -- Sub-Riemannian Geometry and Subelliptic PDEs -- On the Analytic Continuation of the Solution of the Cauchy Problem -- Strong Gevrey Solvability for a System of Linear Partial | |
Differential Equations -- Spherically Symmetric Solutions of the Compressible Euler Equation -- Hyperbolic Cauchy Problem Well Posed in the Class of Gevrey -- Absence of Eigenvalues of Dirac Type Operators -- The Behaviors of Singular | |
Solutions of Partial Differential Equations in Some Class in the Complex Domain -- Systèmes Uniformément Diagonalisables, Dimension Réduite et Symétrie II -- On Hypoellipticity of the Operator exp $$ \left[ { - {{\left| {{x_1}} | |
\right|}^{ - \delta }}} \right]D_1^2 + x_1^4D_2^2 + 1 $$ | |
ISBN: | 9781461200116 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Nonlinear Differential Equations and Their Applications : 52 |
Keywords: | Mathematics , Partial differential equations , Functions of complex variables , Physics , Mathematics , Partial Differential Equations , Several Complex Variables and Analytic Spaces , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2003-9780817681463:ONLINE Show nearby items on shelf |
Title: | 3-D Spinors, Spin-Weighted Functions and their Applications |
Author(s): |
G. F Torres del Castillo |
Date: | 2003 |
Size: | 1 online resource (249 p.) |
Note: | 10.1007/978-0-8176-8146-3 |
Contents: | 1 Rotations and Spinors -- 1.1 Representation of the rotations -- 1.2 Spinors -- 1.3 Elementary applications -- 1.4 Spinors in spaces with indefinite metric -- 2 Spin-Weighted Spherical Harmonics -- 2.1 Spherical harmonics -- 2.2 Spin |
weight -- 2.3 Wigner functions -- 3 Spin-Weighted Spherical Harmonics. Applications -- 3.1 Solution of the vector Helmholtz equation -- 3.2 The source-free electromagnetic field -- 3.3 The equation for elastic waves in an isotropic | |
medium -- 3.4 The Weyl neutrino equation -- 3.5 The Dirac equation -- 3.6 The spin-2 Helmholtz equation -- 3.7 Linearized Einstein theory -- 3.8 Magnetic monopole -- 4 Spin-Weighted Cylindrical Harmonics -- 4.1 Definitions and basic | |
properties -- 4.2 Representation of the Euclidean group of the plane -- 4.3 Applications -- 4.4 Parabolic and elliptic coordinates -- 4.5 Applications -- 5 Spinor Algebra -- 5.1 The spinor equivalent of a tensor -- 5.2 The orthogonal | |
and spin groups -- 5.3 Algebraic classification -- 5.4 The triad defined by a spinor -- 6 Spinor Analysis -- 6.1 Covariant differentiation -- 6.2 Curvature -- 6.3 Spin weight and priming operation -- 6.4 Metric connections with torsion | |
-- 6.5 Congruences of curves -- 6.6 Applications -- 7 Applications to General Relativity -- 7.1 Spacelike hypersurfaces -- 7.2 Timelike hypersurfaces -- 7.3 Stationary space-times -- Appendix: Spinors in the Four-Dimensional Space-Time | |
-- References | |
ISBN: | 9780817681463 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematical Physics : 32 |
Keywords: | Physics , Topological groups , Lie groups , Applied mathematics , Engineering mathematics , Gravitation , Physics , Physics, general , Applications of Mathematics , Topological Groups, Lie Groups , Mathematical Methods in Physics , Classical and Quantum Gravitation, Relativity Theory |
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Call number: | SPRINGER-2002-9781468492798:ONLINE Show nearby items on shelf |
Title: | Mathematics for the Physical Sciences |
Author(s): |
James B Seaborn |
Date: | 2002 |
Size: | 1 online resource (245 p.) |
Note: | 10.1007/978-1-4684-9279-8 |
Contents: | 1 A Review -- 1.1 Electrostatics -- 1.2 Electric Current -- 1.3 Magnetic Flux -- 1.4 Simple Harmonic Motion -- 1.5 A Rigid Rotator -- 1.6 Exercises -- 2 Vectors -- 2.1 Representations of Vectors -- 2.2 The Scalar Product of Two |
Vectors -- 2.3 The Vector Product of Two Vectors -- 2.4 Exercises -- 3 Vector Calculus -- 3.1 Partial Derivatives -- 3.2 A Vector Differential Operator -- 3.3 Components of the Gradient -- 3.4 Flux -- 3.5 Exercises -- 4 Complex Numbers | |
-- 4.1 Why Study Complex Numbers? -- 4.2 Roots of a Complex Number -- 4.3 Exercises -- 5 Differential Equations -- 5.1 Infinite Series -- 5.2 Analytic Functions -- 5.3 The Classical Harmonic Oscillator -- 5.4 Boundary Conditions -- 5.5 | |
Polynomial Solutions -- 5.6 Elementary Functions -- 5.7 Singularities -- 5.8 Exercises -- 6 Partial Differential Equations -- 6.1 The Method of Separation of Variables -- 6.2 The Quantum Harmonic Oscillator -- 6.3 A Conducting Sphere | |
in an Electric Field -- 6.4 The Schrödinger Equation for a Central Field -- 6.5 Exercises -- 7 Eigenvalue Problems -- 7.1 Boundary Value Problems -- 7.2 A Vibrating Drumhead -- 7.3 A Particle in a One-Dimensional Box -- 7.4 Exercises | |
-- 8 Orthogonal Functions -- 8.1 The Failure of Classical Physics -- 8.2 Observables and Their Measurement -- 8.3 Mathematical Operators -- 8.4 Eigenvalue Equations -- 8.5 The Quantum Harmonic Oscillator -- 8.6 Sturm-Liouville Theory | |
-- 8.7 The Dirac Delta Function -- 8.8 Fourier Integrals -- 8.9 Fourier Series -- 8.10 Periodic Functions -- 8.11 Exercises -- 9 Matrix Formulation of the Eigenvalue Problem -- 9.1 Reformulating the Eigenvalue Problem -- 9.2 Systems of | |
Linear Equations -- 9.3 Back to the Eigenvalue Problem -- 9.4 Coupled Harmonic Oscillators -- 9.5 A Rotating Rigid Body -- 9.6 Exercises -- 10 Variational Principles -- 10.1 Fermat’s Principle -- 10.2 Another Variational Calculation -- | |
10.3 The Euler-Lagrange Equation -- 10.4 Exercises -- Appendix A Vector Relations -- A.1 Vector Identities -- A.2 Integral Theorems -- A.3 The Functions of Vector Calculus -- Appendix B Fundamental Equations of Physics -- B.1 Poisson’s | |
Equation -- B.2 Laplace’s Equation -- B.3 Maxwell’s Equations -- B.4 Time-Dependent Schrödinger Equation -- Appendix C Some Useful Integrals and Sums -- C.1 Integrals -- C.2 Sums -- Appendix D Algebraic Equations -- D.1 Quadratic | |
Equation -- D.2 Cubic Equation -- References | |
ISBN: | 9781468492798 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Chemometrics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Math. Applications in Chemistry , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | SPRINGER-2002-9780387227412:ONLINE Show nearby items on shelf |
Title: | Quantum Physics A Text for Graduate Students |
Author(s): |
Roger G Newton |
Date: | 2002 |
Size: | 1 online resource (411 p.) |
Note: | 10.1007/b98873 |
Contents: | Physics -- Quantum Basics: Statics -- Quantum Basics: Dynamics -- The Schrödinger Equation in One Dimension -- One- and Two-Particle Systems in Three Dimensions -- Symmetries -- Stationary Approximation Methods -- Static Magnetic |
Fields -- Time-Dependent Hamiltonians -- Multiparticle Systems -- Relativistic Electron Theory -- Mathematical Appendices -- The Dirac Delta Function -- Hilbert Space -- Linear Integral Equations -- Special Functions -- Group | |
Representations | |
ISBN: | 9780387227412 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Quantum physics , Physics , Quantum Physics |
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Call number: | SPRINGER-2002-9780306480522:ONLINE Show nearby items on shelf |
Title: | Gravitation and Cosmology: From the Hubble Radius to the Planck Scale Proceedings of a Symposium in Honour of the 80th Birthday of Jean-Pierre Vigier |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (540 p.) |
Note: | 10.1007/0-306-48052-2 |
Contents: | Astrophysics & Cosmology -- From the Cosmological Term to the Planck Constant -- Creation of Matter and Anomalous Redshifts -- The Origin of CMBR as Intrinsic Blackbody Cavity-QED Resonance Inherent in the Dynamics of the Continuous |
State Topology of the Dirac Vacuum -- Some New Results in Theoretical Cosmology -- Whitehead Meets Feynman and the Big Bang -- Developing the Cosmology of A Continuous State Universe -- The Problem of Observation in Cosmology and the | |
Big Bang -- Absorber Theory of Radiation in Expanding Universes -- Bohm & Vigier: Ideas as A Basis for A Fractal Universe -- A Random Walk in A Flat Universe -- Multiple Scattering Theory in Wolf’s Mechanism and Implications in QSO | |
Redshift -- Connections Between Thermodynamics, Statostocal Mechanics, Quantum Mechanics, and Special Astrophysical Processes -- Extended Electromagnetic Theory -- New Developments in Electromagnetic Field Theory -- Comparison of Near | |
and Far Field Double-Slit Interferometry for Dispersion of the Photon Wavepacket -- Photon Diameter Measurements -- What is the Evans-Vigier Field? -- Non-Abelian Gauge Groups for Real and Complex Amended Maxwell’s Equations -- | |
Experimental Evidence of Near-Field Superluminally Propagating Electromagnetic Fields -- The Photon Spin and other Topological Features of Classical Electromagnetism -- The Process of Photon Emission from Atomic Hydrogen -- Holographic | |
Mind - Overview: The Integration of Seer, Seeing, and Seen -- Photons from the Future -- Gravitation Theory -- Can one Unify Gravity and Electromagnetic Fields? -- The Dipolar Zero-Modes of Einstein Action -- Theoretical and | |
Experimental Progress on the Gem (Gravity-Electro-Magnetism) Theory of Field Unification -- Can Gravity be Included in Grand Unification? -- Gravitational Energy-Momentum in the Tetrad and Quadratic Spinor Representations of General | |
Relativity -- Spinors in Affine Theory of Gravity -- A New Approach to Quantum Gravity -- Multidimensional Gravity and Cosmology and Problems of G -- Quantum Gravity Operators and Nascent Cosmologies -- Ravitational Magnetism: An | |
Update -- Quantum Theory -- Quantum Hall Enigmas -- On The Possible Existence of Tight Bound States in Quantum Mechanics -- A Chaotic-Stochastic Model of an Atom -- Syncronization Versus Simultaneity Relations, with Implications for | |
Interpretations of Quantum Measurements -- Can Non-Local Interferometry Experiments Reveal A Local Model of Matter? -- Beyond Heisenberg’S Uncertainty Limits -- Towards A Classical Re-Interpretation of the Schrodinger Equation | |
According to Stochastic Electrodynamics -- The Philosophy of the Trajectory Representation of Quantum Mechanics -- Some Physical and Philosophical Problems of Causality in the Interpretation of Quantum Mechanics -- The Force c4/G, the | |
Power c5/G and the Basic Equations of Quantum Mechanics -- Progress in Post-Quantum Physics and Unified Field Theory -- Vacuum Dynamics & Spacetime -- Polarizable-Vacuum Approach to General Relativity -- The Inertia Reaction Force and | |
Its Vacuum Origin -- Engineering the Vacuum -- The Photon as a Charge-Neutral and Mass-Neutral Comosite Particle -- Pregeometry Via Uniform Spaces -- A Zpf-Mediated Cosmological Origin of Electron Inertia -- Vacuum Radiation, Entropy | |
and the Arrow Of Time -- Quaternions, Torsion and the Physical Vacuum: Theories of M. Sachs and G. Shipov Compared -- Homoloidal Webs, Space Cremona Transformations and the Dimensionality and Signature of Macro-Spacetime -- Pulse | |
Interaction in Nonlinear Vacuum Electrodynamics -- Proposal for Teleportation by Help of Vacuum Holes -- Cosmology, the Quantum Universe, and Electron Spin -- On Some Implications of the Local Theory Th(?) and of Popper’Sexperiment | |
ISBN: | 9780306480522 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 126 |
Keywords: | Physics , Gravitation , Astrophysics , Physics , Astrophysics and Astroparticles , Theoretical, Mathematical and Computational Physics , Classical and Quantum Gravitation, Relativity Theory |
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Call number: | SPRINGER-2002-9780306470752:ONLINE Show nearby items on shelf |
Title: | New Developments in Quantum Field Theory |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (364 p.) |
Note: | 10.1007/b114622 |
Contents: | The Structure of 2D Quantum Space-Time -- Scaling Laws in Turbulence -- Field Theory as Free Fall -- Center Dominance, Center Vortices, and Confinement -- Duality and the Renormalization Group -- Unification of the General Non-Linear |
Sigma Model and the Virasoro Master Equation -- A Matrix Model Solution of the Hirota Equation -- Lattice Approximation of Quantum Electrodynamics -- Three Introductory Talks on Matrix Models of Superstrings -- New Developments in the | |
Continuous Renormalization Group -- Primordial Magnetic Fields and Their Development (Applied Field theory) -- Towards Matrix Models of IIB Superstrings -- Quantum Mechanics of the Electric Charge -- Universal Fluctuations in Dirac | |
Spectra -- Determination of Critical Exponents and Equation of State by Field Theory Methods -- Collective Dynamics of a Domain Wall — an Outline -- Path Space Formulation of the BFV Theorem -- Surplus Anomaly and Random Geometries -- | |
Topological Contents of 3D Seiberg-Witten Theory -- Free Strings in Non-Critical Dimensions -- Seiberg-Witten Theory, Integrable Systems and D-Branes -- Microscopic Universality in Random Matrix Models of QCD -- New Developments in | |
Non-Hermitian Random Matrix Models -- Potential Topography and Mass Generation -- Past the Highest-Weight, and What You Can Find There -- The Spectral Dimension on Branched Polymer Ensembles -- Solving the Baxter Equation in High | |
Energy QCD | |
ISBN: | 9780306470752 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO Science Series: B:, Advanced Science Institutes Series: 366 |
Keywords: | Physics , Combinatorics , Physics , Theoretical, Mathematical and Computational Physics , Combinatorics |
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