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Mathematics and Its Applications

Feynman Integral and Random Dynamics in Quantum Physics

A Probabilistic Approach to Quantum Dynamics

Authors: Haba, Z.

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About this book

The Feynman integral is considered as an intuitive representation of quantum mechanics showing the complex quantum phenomena in a language comprehensible at a classical level. It suggests that the quantum transition amplitude arises from classical mechanics by an average over various interfering paths. The classical picture suggested by the Feynman integral may be illusory. By most physicists the path integral is usually treated as a convenient formal mathematical tool for a quick derivation of useful approximations in quantum mechanics. Results obtained in the formalism of Feynman integrals receive a mathematical justification by means of other (usually much harder) methods. In such a case the rigour is achieved at the cost of losing the intuitive classical insight. The aim of this book is to formulate a mathematical theory of the Feynman integral literally in the way it was expressed by Feynman, at the cost of complexifying the configuration space. In such a case the Feynman integral can be expressed by a probability measure. The equations of quantum mechanics can be formulated as equations of random classical mechanics on a complex configuration space. The opportunity of computer simulations shows an immediate advantage of such a formulation. A mathematical formulation of the Feynman integral should not be considered solely as an academic question of mathematical rigour in theoretical physics.

Table of contents (20 chapters)

Table of contents (20 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-94-011-4716-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-0-7923-5735-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • ISBN 978-94-010-5984-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Feynman Integral and Random Dynamics in Quantum Physics
Book Subtitle
A Probabilistic Approach to Quantum Dynamics
Authors
Series Title
Mathematics and Its Applications
Series Volume
480
Copyright
1999
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-4716-3
DOI
10.1007/978-94-011-4716-3
Hardcover ISBN
978-0-7923-5735-3
Softcover ISBN
978-94-010-5984-8
Edition Number
1
Number of Pages
XX, 367
Topics

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