Quantum-Classical Correspondence

Dynamical Quantization and the Classical Limit

  • A. O. Bolivar

Part of the The Frontiers Collection book series (FRONTCOLL)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. A. O. Bolivar
    Pages 1-20
  3. A. O. Bolivar
    Pages 21-51
  4. A. O. Bolivar
    Pages 53-87
  5. A. O. Bolivar
    Pages 89-120
  6. A. O. Bolivar
    Pages 121-144
  7. A. O. Bolivar
    Pages 145-150
  8. Back Matter
    Pages 151-189

About this book


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.


Brownian motion theory Classical limit Fokker-Planck equation Quantization Stochastic processes classical mechanics quantum mechanics stochastic process

Authors and affiliations

  • A. O. Bolivar
    • 1
  1. 1.Instituto Cultural Eudoro de Sousa, CEP: 72.221-970CeilandiaBrazil

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05765-6
  • Online ISBN 978-3-662-09649-9
  • Series Print ISSN 1612-3018
  • Buy this book on publisher's site
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