Singular quadratic forms in perturbation theory
著者
書誌事項
Singular quadratic forms in perturbation theory
(Mathematics and its applications, v. 474)
Kluwer, 1999
- タイトル別名
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Singuli︠a︡rnye bilineĭnye formy v teorii vozmushcheniĭ samosopri︠a︡zhennykh operatorov
- 統一タイトル
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Singuli︠a︡rnye bilineĭnye formy v teorii vozmushcheniĭ samosopri︠a︡zhennykh operatorov
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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(
目次
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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