Quantum-Classical Correspondence PDF Download
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Author: A. O. Bolivar
Publisher: Springer Science & Business Media
ISBN: 3662096498
Category : Science
Languages : en
Pages : 196
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Book Description
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.
Author: A. O. Bolivar
Publisher: Springer Science & Business Media
ISBN: 3662096498
Category : Science
Languages : en
Pages : 196
Get Book Here
Book Description
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.
Author: Leslie E. Ballentine
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814578578
Category : Science
Languages : en
Pages : 722
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Book Description
Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.In this edition a new chapter on quantum information is added. As the topic is still in a state of rapid development, a comprehensive treatment is not feasible. The emphasis is on the fundamental principles and some key applications, including quantum cryptography, teleportation of states, and quantum computing. The impact of quantum information theory on the foundations of quantum mechanics is discussed. In addition, there are minor revisions to several chapters.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it can be used by senior undergraduates too.
Author: Luigi Accardi
Publisher: Springer Science & Business Media
ISBN: 3662049295
Category : Science
Languages : en
Pages : 485
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Book Description
Well suited as a textbook in the emerging field of stochastic limit, which is a new mathematical technique developed for solving nonlinear problems in quantum theory.
Author: John T. Bruer
Publisher:
ISBN:
Category : Quantum theory
Languages : en
Pages : 68
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Book Description
Author: John Thomas Bruer
Publisher:
ISBN:
Category :
Languages : en
Pages : 68
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Book Description
Author: Daniel F. Styer
Publisher: Cambridge University Press
ISBN: 1316101878
Category : Science
Languages : en
Pages : 248
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Book Description
This is an exceptionally accessible, accurate, and non-technical introduction to quantum mechanics. After briefly summarizing the differences between classical and quantum behaviour, this engaging account considers the Stern-Gerlach experiment and its implications, treats the concepts of probability, and then discusses the Einstein-Podolsky-Rosen paradox and Bell's theorem. Quantal interference and the concept of amplitudes are introduced and the link revealed between probabilities and the interference of amplitudes. Quantal amplitude is employed to describe interference effects. Final chapters explore exciting new developments in quantum computation and cryptography, discover the unexpected behaviour of a quantal bouncing-ball, and tackle the challenge of describing a particle with no position. Thought-provoking problems and suggestions for further reading are included. Suitable for use as a course text, The Strange World of Quantum Mechanics enables students to develop a genuine understanding of the domain of the very small. It will also appeal to general readers seeking intellectual adventure.
Author: Nicholas P. Landsman
Publisher: Springer Science & Business Media
ISBN: 146121680X
Category : Science
Languages : en
Pages : 547
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Book Description
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.
Author: Peter R. Holland
Publisher: Cambridge University Press
ISBN: 9780521485432
Category : Science
Languages : en
Pages : 624
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Book Description
An explanation of how quantum processes may be visualised without ambiguity, in terms of a simple physical model.
![The Classical Limit of Quantum Mechanics [microform] PDF](https://books.google.com/books/content/images/frontcover/x9IPywAACAAJ?fife=w80-h100)
Author: Yumin Yang
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780315911420
Category : Correspondence principle (Quantum mechanics)
Languages : en
Pages : 154
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Book Description
Author: Barry Simon
Publisher: American Mathematical Soc.
ISBN: 0821835823
Category : Mathematics
Languages : en
Pages : 322
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Book Description
Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.
