Singular quadratic forms in perturbation theory

Author(s)

    • Koshmanenko, V. D.

Bibliographic Information

Singular quadratic forms in perturbation theory

by Volodymyr Koshmanenko

(Mathematics and its applications, v. 474)

Kluwer, 1999

Other Title

Singuli︠a︡rnye bilineĭnye formy v teorii vozmushcheniĭ samosopri︠a︡zhennykh operatorov

Uniform Title

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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