Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit

✍ Scribed by Dr. A. O. Bolivar (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2004
• Tongue: English
• Leaves: 195
• Series: The Frontiers Collection
• Edition: 1
• Category: Library

✦ Synopsis

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. Quantum-Classical Correspondence elucidates the problem 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. Physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.

✦ Table of Contents

Front Matter....Pages I-XIII
Towards a Non-Galilean View of Physics....Pages 1-20
Some Basics of Stochastic Processes....Pages 21-51
Classical Physics....Pages 53-87
Quantum Physics....Pages 89-120
Classical Limit of Quantum Physics....Pages 121-144
Summary and Open Questions....Pages 145-150
Back Matter....Pages 151-189

✦ Subjects

Quantum Physics;Probability Theory and Stochastic Processes;Statistical Physics, Dynamical Systems and Complexity