Singular Quadratic Forms in Perturbation Theory

Singular Quadratic Forms in Perturbation Theory

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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(
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Product details

  • Hardback | 312 pages
  • 160 x 241.3 x 25.4mm | 635.04g
  • Dordrecht, Netherlands
  • English
  • 1999 ed.
  • VIII, 312 p.
  • 079235625X
  • 9780792356257

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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Review quote

` ...this text is a valuable contribution to the literature on the abstract aspects of singular perturbation theory.'
Mathematical Reviews, 2001a
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