Linear Infinite-Particle Operators (Translations of Mathematical Monographs No. 143)
By: R. A. Minlos (author), V. A. Malyshev (author)Hardback
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The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.
Introduction Extended introduction Construction of a nonequilibrium dynamics Construction of an equilibrium dynamics Spectral analysis of the Euclidean field transfer matrix Asymptotic completeness for interacting fermion systems The method of Bethe-Salpeter kernels (Dyson's equation) Guide to the Literature References.
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- ID: 9780821802830
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