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Schrödinger Diffusion Processes by Robert Aebi
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Schrödinger Diffusion Processes

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Description

In 1931 Erwin Schrödinger considered the following problem: A huge cloud of independent and identical particles with known dynamics is supposed to be observed at finite initial and final times. What is the "most probable" state of the cloud at intermediate times? The present book provides a general yet comprehensive discourse on Schrödinger's question. Key roles in this investigation are played by conditional diffusion processes, pairs of non-linear integral equations and interacting particles systems. The introductory first chapter gives some historical background, presents the main ideas in a rather simple discrete setting and reveals the meaning of intermediate prediction to quantum mechanics. In order to answer Schrödinger's question, the book takes three distinct approaches, dealt with in separate chapters: transformation by means of a multiplicative functional, projection by means of relative entropy, and variation of a functional associated to pairs of non-linear integral equations. The book presumes a graduate level of knowledge in mathematics or physics and represents a relevant and demanding application of today's advanced probability theory.
Release date Australia
October 4th, 2011
Author
Audience
  • Professional & Vocational
Edition
Softcover reprint of the original 1st ed. 1996
Illustrations
186 p.
Pages
186
Dimensions
170x244x10
ISBN-13
9783034898744
Product ID
20771057

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