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Ph. Blanchard, Ph. Combe, W. Zheng — Mathematical and Physical Aspects of Stochastic Mechanics
Ph. Blanchard, Ph. Combe, W. Zheng — Mathematical and Physical Aspects of Stochastic Mechanics



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Название: Mathematical and Physical Aspects of Stochastic Mechanics

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

Аннотация:

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.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Неизвестно

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Год издания: 1987

Количество страниц: 178

Добавлена в каталог: 31.08.2019

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