Monographs in Mathematics

Schrödinger Equations and Diffusion Theory

Authors: Nagasawa, M.

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About this book

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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-0348-8568-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-7643-2875-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-0348-9684-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Schrödinger Equations and Diffusion Theory
Authors
Series Title
Monographs in Mathematics
Series Volume
86
Copyright
1993
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8568-3
DOI
10.1007/978-3-0348-8568-3
Hardcover ISBN
978-3-7643-2875-7
Softcover ISBN
978-3-0348-9684-9
Series ISSN
1017-0480
Edition Number
1
Number of Pages
XII, 323
Topics