Singular quadratic forms in perturbation theory
Author(s)
Bibliographic Information
Singular quadratic forms in perturbation theory
(Mathematics and its applications, v. 474)
Kluwer, 1999
- Other Title
-
Singuli︠a︡rnye bilineĭnye formy v teorii vozmushcheniĭ samosopri︠a︡zhennykh operatorov
- Uniform Title
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Singuli︠a︡rnye bilineĭnye formy v teorii vozmushcheniĭ samosopri︠a︡zhennykh operatorov
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
The notion of singular quadratic form appears in mathematical physics as a tool for the investigation of formal expressions corresponding to perturbations devoid of operator sense. Numerous physical models are based on the use of Hamiltonians containing perturba tion terms with singular properties. Typical examples of such expressions are Schrodin ger operators with O-potentials (-~ + AD) and Hamiltonians in quantum field theory with perturbations given in terms of operators of creation and annihilation (P(
Table of Contents
Preface to the English Edition. Introduction. 1. Quadratic Forms and Linear Operators. 2. Singular Quadratic Forms. 3. Singular Perturbations of Self-Adjoint Operators. 4. Applications to Quantum Field Theory. References. Subject Index. Notation.
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