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Singular Quadratic Forms in Perturbation Theory

  • Volodymyr Koshmanenko

Part of the Mathematics and Its Applications book series (MAIA, volume 474)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Volodymyr Koshmanenko
    Pages 1-4
  3. Volodymyr Koshmanenko
    Pages 5-58
  4. Volodymyr Koshmanenko
    Pages 59-121
  5. Volodymyr Koshmanenko
    Pages 123-225
  6. Volodymyr Koshmanenko
    Pages 227-279
  7. Back Matter
    Pages 281-312

About this book

Introduction

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(

Keywords

Boundary value problem Hilbert space Operator theory functional analysis scattering theory

Authors and affiliations

  • Volodymyr Koshmanenko
    • 1
  1. 1.Institute of MathematicsNational Academy of SciencesKievUkraine

Bibliographic information