Linear Infinite Particle Operators
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Linear infinite-particle operators
Author: V. A. Malyshev Robert Adol_fovich Minlos
language: en
Publisher: American Mathematical Soc.
Release Date: 1995-02-13
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.
Linear and Nonlinear Perturbations of the Operator Div
Author: Viktor Grigorʹevich Osmolovskiĭ
language: en
Publisher: American Mathematical Soc.
Release Date: 1997-01-01
This book presents results onboundary-value problems for L and the theory of nonlinear perturbations of L. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator L. an analog of the Weyl decomposition is proved.
Linear Operators for Quantum Mechanics
Author: Thomas F. Jordan
language: en
Publisher: Courier Corporation
Release Date: 2012-09-20
Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.