Amazon cover image
Image from Amazon.com
Image from Google Jackets

Mathematical and Physical Aspects of Stochastic Mechanics [electronic resource] / by Ph. Blanchard, Ph. Combe, W. Zheng.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Physics ; 281Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1987Description: VIII, 171 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540477181
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 530.15 23
LOC classification:
  • QC5.53
Online resources:
Contents:
Kinematics of stochastic diffusion processes -- Nelson stochastic dynamics — Newtonian processes -- Global existence for diffusions with singular drifts -- Stochastic variational principles -- Two viewpoints concerning quantum and stochastic mechanics -- A non-quantal look at stochastic mechanics.
In: Springer eBooksSummary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

Kinematics of stochastic diffusion processes -- Nelson stochastic dynamics — Newtonian processes -- Global existence for diffusions with singular drifts -- Stochastic variational principles -- Two viewpoints concerning quantum and stochastic mechanics -- A non-quantal look at stochastic mechanics.

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.

There are no comments on this title.

to post a comment.
(C) Powered by Koha

Powered by Koha