Lecture Notes in Physics

Mathematical and Physical Aspects of Stochastic Mechanics

Authors: Blanchard, Ph., Combe, Ph., Zheng, W.

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About this Textbook

This lecture is meant as an introduction to stochastic mechanics for graduate students. The concepts and most of the statements are formulated in precise and exact mathematical language. Nevertheless, the emphasis is on the physical concepts. The authors discuss thoroughly the aspects of stochastic mechanics in quantum mechanics, firstly as a way of quantization as proposed by E. Nelson and secondly, as a tool to give a more detailed description of microphysics within the framework of the standard form of quantum theory. Another part of their work treats stochastic mechanics as a general description of a class of dynamical systems disturbed by some isotropic translation invariant noise thus extending Nelson's theory within the framework of classical physics. The necessary tools like stochastic processes, in particular those used in mathematical physics, existence and construction of diffusion processes as well as stochastic variational principles are presented in detail. Here is certainly an excellent text on this important field of mathematical physics.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $64.99
price for USA in USD
  • The eBook version of this title will be available soon
  • ISBN 978-3-540-47718-1
  • Digitally watermarked, DRM-free
  • Included format:
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover $84.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical and Physical Aspects of Stochastic Mechanics
Authors
Series Title
Lecture Notes in Physics
Series Volume
281
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47718-1
DOI
10.1007/BFb0027649
Softcover ISBN
978-3-662-13606-5
Series ISSN
0075-8450
Edition Number
1
Number of Pages
VIII, 171
Topics