Quantum Theory and Its Stochastic Limit / Edition 1

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Overview

Well suited as a textbook in the emerging field of shastic limit, which is a new mathematical technique developed for solving nonlinear problems in quantum theory.

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Editorial Reviews

From the Publisher
"The authors have produced a very important and detailed book on the subject of the shastic limit of quantum field theory. In particular, they formulate the shastic limit in the framework of an algebraic central limit theory using the sort of scaling limits encountered in quantum transport phenomena. [...] The book is well written and covers many related problems [...] The audience will be mathematical and theoretical physicists. The authors are to be congratulated for showing the power and range of application of quantum probability to quantum physics." (Mathematical Reviews 2003h)
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Product Details

  • ISBN-13: 9783540419280
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 9/17/2002
  • Edition description: 2002
  • Edition number: 1
  • Pages: 473
  • Product dimensions: 1.13 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

I. Notations and Statement of the Problem: Quantum Fields. Those Kinds of Fields We Call Noises. Open Systems. The Shastic Resonance Principle. Measurements and Filtering Theory. Idea of the Proof and Causal Normal Order. Chronological Product Approach to the Shastic Limit. Functional Integral Approach to the Shastic Limit. Low-Density Limit: Basic Idea. Six Basic Principles of the Shastic Limit.- II. Strongly Nonlinear Regimes: Particles Interacting with a Bose Field. Particles Interacting with a Fermi Field. Field—Field Interactions.- III. Estimates and Proofs: Analytical Theory of Feynman Diagrams. Term by Term Convergence.
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