Quantum-Classical Correspondence
Quantum-Classical Correspondence

Author: A. O. Bolivar

Publisher: Springer Science & Business Media

Published: 2004-01-22

Total Pages: 216

ISBN-13: 9783540201465

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At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.

Quantum-Classical Correspondence
Quantum-Classical Correspondence

Author: A. O. Bolivar

Publisher: Springer Science & Business Media

Published: 2013-04-09

Total Pages: 196

ISBN-13: 3662096498

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At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.

Classical and Quantum Computation
Classical and Quantum Computation

Author: Alexei Yu. Kitaev

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 274

ISBN-13: 0821832298

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An introduction to a rapidly developing topic: the theory of quantum computing. Following the basics of classical theory of computation, the book provides an exposition of quantum computation theory. In concluding sections, related topics, including parallel quantum computation, are discussed.

Elements of Classical and Quantum Integrable Systems
Elements of Classical and Quantum Integrable Systems

Author: Gleb Arutyunov

Publisher: Springer

Published: 2019-07-23

Total Pages: 420

ISBN-13: 303024198X

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Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.

Chaos in Classical and Quantum Mechanics
Chaos in Classical and Quantum Mechanics

Author: Martin C. Gutzwiller

Publisher: Springer Science & Business Media

Published: 2013-11-27

Total Pages: 445

ISBN-13: 1461209838

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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.

On the Quantum Theory of Line-spectra
On the Quantum Theory of Line-spectra

Author: Niels Bohr

Publisher: Courier Corporation

Published: 2005-01-01

Total Pages: 132

ISBN-13: 0486442489

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This classic work by the Nobel Laureate elaborates on the correspondence principle, discussing the theory's applications from a uniform point of view and considering the underlying assumptions in their relations to ordinary mechanics and electrodynamics. Bohr closely traces the analogy between quantum theory and ordinary theory of radiation. 1918-1922 editions.

Reexamining the Quantum-Classical Relation
Reexamining the Quantum-Classical Relation

Author: Alisa Bokulich

Publisher: Cambridge University Press

Published: 2008-10-02

Total Pages: 0

ISBN-13: 0521857201

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The relation between quantum mechanics and classical mechanics, argued from historical, philosophical, and scientific perspectives.

The Foundations of Quantum Theory
The Foundations of Quantum Theory

Author: Sol Wieder

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 416

ISBN-13: 0323141714

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The Foundations of Quantum Theory discusses the correspondence between the classical and quantum theories through the Poisson bracket-commutator analogy. The book is organized into three parts encompassing 12 chapters that cover topics on one-and many-particle systems and relativistic quantum mechanics and field theory. The first part of the book discusses the developments that formed the basis for the old quantum theory and the use of classical mechanics to develop the theory of quantum mechanics. This part includes considerable chapters on the formal theory of quantum mechanics and the wave mechanics in one- and three-dimension, with an emphasis on Coulomb problem or the hydrogen atom. The second part deals with the interacting particles and noninteracting indistinguishable particles and the material covered is fundamental to almost all branches of physics. The third part presents the pertinent equations used to illustrate the relativistic quantum mechanics and quantum field theory. This book is of value to undergraduate physics students and to students who have background in mechanics, electricity and magnetism, and modern physics.

Quantum Classical Correspondence
Quantum Classical Correspondence

Author: Bei-Lok Hu

Publisher: International Press of Boston

Published: 1997

Total Pages: 604

ISBN-13:

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Since 1988, a series of conferences held at Drexel University provided a forum on quantum chaos and related topics. The fourth conference, the proceedings of which are recorded here, broadens that theme to the unifying question of quantum classical correspondence.

Quantum Information Theory and the Foundations of Quantum Mechanics
Quantum Information Theory and the Foundations of Quantum Mechanics

Author: Christopher G. Timpson

Publisher: Oxford Philosophical Monograph

Published: 2013-04-25

Total Pages: 308

ISBN-13: 0199296464

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Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.