Quantum-Classical Correspondence

Dynamical Quantization and the Classical Limit

Specificaties
Paperback, 190 blz. | Engels
Springer Berlin Heidelberg | 0e druk, 2010
ISBN13: 9783642057656
Rubricering
Springer Berlin Heidelberg 0e druk, 2010 9783642057656
Onderdeel van serie The Frontiers Collection
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783642057656
Taal:Engels
Bindwijze:paperback
Aantal pagina's:190
Uitgever:Springer Berlin Heidelberg
Druk:0

Inhoudsopgave

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.

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        Quantum-Classical Correspondence