Singular Quadratic Forms in Perturbation Theory

ISBN-13: 9780792356257 / Angielski / Twarda / 1999 / 312 str.

Volodymyr Koshmanenko; V. D. Koshmanenko

Opis

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("

Recenzje

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

Spis treści

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.