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Schrödinger Equations and Diffusion Theory
Hardcover
Series: Monographs in Mathematics, Book 86
General MathematicsProbability & Statistics
ISBN13: 9783764328757
Publisher: Springer Nature
Published: Jul 1 1993
Pages: 323
Weight: 1.44
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
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 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.
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