Schrödinger Equations and Diffusion Theory
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 diffusi...
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| Format: | eBook |
| Language: | English |
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Basel
Birkhäuser
1993, 1993
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| Edition: | 1st ed. 1993 |
| Series: | Modern Birkhäuser Classics
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| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of 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 Schrödinger Equations
- V Variational Principle
- VI Diffusion Processes in q-Representation
- VII Segregation of a Population
- VIII The Schrödinger Equation can be a Boltzmann Equation
- IX Applications of the Statistical Model for Schrödinger Equations
- X Relative Entropy and Csiszar’s Projection
- XI Large Deviations
- XII Non-Linearity Induced by the Branching Property
- Appendix
- References
- Index