Schrödinger Equations and Diffusion Theory

Schrödinger Equations and Diffusion Theory by Masao Nagasawa.

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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Bibliographische Detailangaben
1. Verfasser: Nagasawa, Masao (VerfasserIn)
Körperschaft: SpringerLink (Online service)
Format: E-Book
Sprache:English
Veröffentlicht: Basel : Springer Basel : Imprint: Birkhäuser, 1993.
Ausgabe:1st ed. 1993.
Schriftenreihe:Modern Birkhäuser Classics,
Springer eBook Collection.
Schlagworte:
Probabilities.
Partial differential equations.
Mathematical physics.
Electronic resources (E-books)
Online Zugang:Click to view e-book
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Electronic access restricted to members of the Holy Cross Community.
Inhaltsangabe:
  • 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.

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