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Schroedinger Equations and Diffusion Theory by M. Nagasawa (Hardcover, 1993)

About this product

About this product

Product Information

Addressing the question what is the Schroedinger equation in terms of diffusion processes, this work shows that the Schroedinger equation and diffusion equations in duality are equivalent. In turn, Schroedinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schroedinger equation tells us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles. The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schroedinger equations. The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schroedinger equation, namely, quantum mechanics. The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.

Product Identifiers

Publisher
Birkhauser Verlag Ag
ISBN-13
9783764328757
eBay Product ID (ePID)
94354541

Product Key Features

Author
M. Nagasawa
Publication Name
Schroedinger Equations and Diffusion Theory
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
1993
Type
Textbook
Number of Pages
323 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
86
Item Weight
1410g

Additional Product Features

Title_Author
M. Nagasawa
Series Title
Monographs in Mathematics
Country/Region of Manufacture
Switzerland

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