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

By:

Blanchard, Ph [VerfasserIn, VerfasserIn]

Contributor(s):

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook Collection Physics and Astronomy | Lecture notes in physics ; 281Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1987Description: 1 Online-Ressource (VIII, 171 p)ISBN:

9783540477181
9783540180364

Subject(s):

Additional physical formats: 9783540180364 MSC: MSC: *60K35 | 81P20 | 82-02 | 60-02 | 60J60LOC classification:

QC5.53

DOI: DOI: 10.1007/BFb0027649Online resources:

Summary: 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 physicsSummary: 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 physicsPPN: PPN: 749085959Package identifier: Produktsigel: ZDB-2-BAE | ZDB-2-LNP | ZDB-2-PHA | ZDB-1-SLN

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Springer eBook Collection. Physics and Astronomy