Schrödinger Equations and Diffusion Theory (Monographs in Mathematics, 86)

Nagasawa, M.

ISBN 10: 3764328754 / ISBN 13: 9783764328757

Verlag: Birkhäuser, Basel, Switzerland, 1993

First Edition, First Printing. Hard cover 8vo in blue cloth w/gold spine titles. About Fine w/scuffed front cloth, else Fine and unmarked; no DJ. 319pp inc. References, Index; illustrated in mathematical equations. 335 p. Bestandsnummer des Verkäufers 040895

Inhaltsangabe:

Schrödinger Equations and Diffusion Theory addresses the question "What is the Schrödinger equation?" in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tell 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 Schrödinger equations.
The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrödinger equation, namely, quantum mechanics.
The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.

Bibliografische Details

Titel: Schrödinger Equations and Diffusion Theory (...
Verlag: Birkhäuser, Basel, Switzerland
Erscheinungsdatum: 1993
Einband: Cloth
Zustand: About Fine
Zustand des Schutzumschlags: No Jacket
Auflage: First Edition, First Printing.
Art des Buches: Book