mathematics of classical and quantum physics

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Mathematics Of Classical And Quantum Physics

Author : Frederick W. Byron
ISBN : 9780486135069
Genre : Science
File Size : 49. 23 MB
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Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Mathematics Of Classical And Quantum Physics

Author : Frederick William Byron
ISBN : OCLC:976648469
Genre : Mathematical physics
File Size : 20. 99 MB
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Mathematical Methods In Classical And Quantum Physics

Author : Tulsi Dass
ISBN : 8173710899
Genre : Mathematical physics
File Size : 64. 88 MB
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This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number of exercise problems.

Geometric Phases In Classical And Quantum Mechanics

Author : Dariusz Chruscinski
ISBN : 081764282X
Genre : Mathematics
File Size : 29. 68 MB
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Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.

Chaos In Classical And Quantum Mechanics

Author : Martin C. Gutzwiller
ISBN : 9781461209836
Genre : Mathematics
File Size : 90. 16 MB
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Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Solutions Manual For Quantum Mechanics

Author : Richard W. Robinett
ISBN : 0195115643
Genre : Quantum theory
File Size : 66. 48 MB
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Many of the familiar aspects of non-relativistic quantum mechanics were developed almost three quarters of a century ago, but the central role played by quantum physics in determining the properties of matter guarantees that new applications of the basic principles will continue to appear. Because the phenomena described by quantum theory are often remote from our daily existence, our intuition about the nature of quantum systems must be built up from sources other than direct experience; the visual display of quantitative information and qualitative ideas can play just as important a role in this learning process as do formal mathematical methods.Quantum Mechanics: Classical Results, Modern Systems, and Visualized Examples provides the student with a thorough background in the machinery of undergraduate quantum mechanics, with many examples taken from classic experiments in atomic, nuclear, and elementary particle physics. In addition, the use of visualization is heavily emphasized throughout.The text also includes several other valuable features:* Emphasis on the classical limit of quantum mechanics and wavepackets* Enhanced presentation of momentum-space methods* Increased emphasis on numerical and approximation techniques* Separate chapters on classical wave phenomena and probability/statistics to provide needed background, as well as an appendix on classical Hamiltonian theory* A chapter devoted to two-dimensional quantum systems, designed to make contact with modern surface physics; this includes a brief discussion of classical and quantum chaos* Many problems as well as questions in which the student is asked to explore more conceptual aspects of the mind

Theory Of Groups In Classical And Quantum Physics Mathematical Structures And The Foundations Of Quantum Theory Translated From The French By H Ingram

Author : Théo Kahan
ISBN : MINN:31951000559865F
Genre : Group theory
File Size : 59. 49 MB
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Mathematical Physics Classical Mechanics

Author : Andreas Knauf
ISBN : 9783662557747
Genre : Science
File Size : 60. 45 MB
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As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.

Mathematical Topics Between Classical And Quantum Mechanics

Author : Nicholas P. Landsman
ISBN : 9781461216803
Genre : Science
File Size : 68. 3 MB
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This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.

Green S Functions In Quantum Physics

Author : Eleftherios N. Economou
ISBN : 9783540288411
Genre : Science
File Size : 71. 49 MB
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The new edition of a standard reference will be of interest to advanced students wishing to become familiar with the method of Green's functions for obtaining simple and general solutions to basic problems in quantum physics. The main part is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a -function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and boundlevel information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book. This third edition is 50% longer than the previou and offers end-of-chapter problems and solutions (40% are solved) and additional appendices to helpit is to serve as an effective self-tutorial and self-sufficient reference. Throughout, it demonstrates the powerful and unifying formalism of Green's functions across many applications, including transport properties, carbon nanotubes, and photonics and photonic crystals.

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