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Mathematics of Classical and Quantum Physics

2012-04-26 Science
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Release : 2012-04-26
Genre : Science
Kind : eBook
Book Rating : 063/5 ( reviews)

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Book Synopsis Mathematics of Classical and Quantum Physics by : Frederick W. Byron

Download or read book Mathematics of Classical and Quantum Physics written by Frederick W. Byron. This book was released on 2012-04-26. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chaos in Classical and Quantum Mechanics

2013-11-27 Mathematics
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Release : 2013-11-27
Genre : Mathematics
Kind : eBook
Book Rating : 838/5 ( reviews)

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Book Synopsis Chaos in Classical and Quantum Mechanics by : Martin C. Gutzwiller

Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller. This book was released on 2013-11-27. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Classical to Quantum Mechanics

2004-03-11 Science
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Release : 2004-03-11
Genre : Science
Kind : eBook
Book Rating : 549/5 ( reviews)

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Book Synopsis From Classical to Quantum Mechanics by : Giampiero Esposito

Download or read book From Classical to Quantum Mechanics written by Giampiero Esposito. This book was released on 2004-03-11. Available in PDF, EPUB and Kindle. Book excerpt: This 2004 textbook provides a pedagogical introduction to the formalism, foundations and applications of quantum mechanics. Part I covers the basic material which is necessary to understand the transition from classical to wave mechanics. Topics include classical dynamics, with emphasis on canonical transformations and the Hamilton-Jacobi equation, the Cauchy problem for the wave equation, Helmholtz equation and eikonal approximation, introduction to spin, perturbation theory and scattering theory. The Weyl quantization is presented in Part II, along with the postulates of quantum mechanics. Part III is devoted to topics such as statistical mechanics and black-body radiation, Lagrangian and phase-space formulations of quantum mechanics, and the Dirac equation. This book is intended for use as a textbook for beginning graduate and advanced undergraduate courses. It is self-contained and includes problems to aid the reader's understanding.

A History of Classical Physics

1997 Physics
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Release : 1997
Genre : Physics
Kind : eBook
Book Rating : 015/5 ( reviews)

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Book Synopsis A History of Classical Physics by : John Desmond Bernal

Download or read book A History of Classical Physics written by John Desmond Bernal. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Topics Between Classical and Quantum Mechanics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 80X/5 ( reviews)

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Book Synopsis Mathematical Topics Between Classical and Quantum Mechanics by : Nicholas P. Landsman

Download or read book Mathematical Topics Between Classical and Quantum Mechanics written by Nicholas P. Landsman. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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