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Schrödinger equations and diffusion theory

Author: Masao Nagasawa
Publisher: Basel ; Boston : Birkhäuser Verlag, 1993.
Series: Monographs in mathematics, v. 86.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Self-contained and structurally coherent, this introduction to the theory and applications of diffusion processes deploys them to analyze Schrodinger's equations, using relative entropy and the  Read more...

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Additional Physical Format: Online version:
Nagasawa, Masao, 1933 August 1-
Schrödinger equations and diffusion theory.
Basel ; Boston : Birkhäuser Verlag, 1993
(OCoLC)625900227
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Masao Nagasawa
ISBN: 3764328754 9783764328757 0817628754 9780817628758 9783034805599 3034805594
OCLC Number: 27894513
Description: 319 pages : illustrations ; 25 cm.
Contents: Preface.- I Introduction and Motivation.- II Diffusion Processes and their Transformations.- III Duality and Time Reversal of Diffusion Processes.- IV Equivalence of Diffusion and Schrodinger Equations.- V Variational Principle.- VI Diffusion Processes in q-Representation.- VII Segregation of a Population.- VIII The Schrodinger Equation can be a Boltzmann Equation.- IX Applications of the Statistical Model for Schrodinger Equations.- X Relative Entropy and Csiszar's Projection.- XI Large Deviations.- XII Non-Linearity Induced by the Branching Property.- Appendix.- References.- Index.
Series Title: Monographs in mathematics, v. 86.
Responsibility: Masao Nagasawa.
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