ENGLISH

Mathematical and Physical Aspects of Stochastic Mechanics

By Ph. Blanchard , Ph. Combe , W. Zheng (auth.)

Book information

Publisher
Springer Berlin Heidelberg
Year
1987
ISBN
0387180362, 9780387180366
DOI
10.1007/BFb0027649
LCC
QC174.8 .B58 1987
Open Library ID
OL2386886M
Language
english
Format
DJVU
Filesize
760 kB (778583 bytes)
Series
Lecture Notes in Physics 281
Pages
178\178
Library
Kolxo3
DPI
300
Orientation
yes
Scanned
yes
Time added
2009-07-20 03:45:11
Mathematical Methods in Physics; Numerical and Com

Description

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.

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