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Singular Quadratic Forms in Perturbation Theory

Name: Singular Quadratic Forms in Perturbation Theory
Brand: Springer
SKU: 9780792356257
Price: 105.15 EUR
Availability: InStock

Автор: Volodymyr Koshmanenko

Език:

Корици: С твърди корици

Издател: Springer

Наличност: Външен склад

Изпращаме след 10-13 дни

105.15 € 205.65 лв

This monograph is devoted to the systematic presentation of the method of singular quadratic forms i...

Информация за книгата

Автор

Volodymyr Koshmanenko

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1999

страници

312

EAN

9780792356257

ISBN

079235625X

Enbook ID

01395986

Издател

Springer

Теглоt

1390

Размери

170 x 244 x 22

Пълно описание

This monograph is devoted to the systematic presentation of the method of singular quadratic forms in the perturbation theory of self-adjoint operators. §The concept of a singular (nowhere closable) quadratic form, a key notion of the present volume, is treated from different points of view such as definition, properties, relations with regular (closable) quadratic forms, operator representation, classification in the scale of Hilbert spaces and especially as an object carrying a singular perturbation for Hamiltonians. The main idea is to interpret singular quadratic form in the role of an abstract boundary condition for self-adjoint extension. Various aspects of the singularity principle are investigated, such as the construction of singularly perturbed operators, higher powers of perturbed operators, the transition to a new orthogonally extended state space, as well as approximation and regularization. Furthermore, applications dealing with singular Wick monomials in the Fock space and mathematical scattering theory are included. §Audience: This book will be of interest to students and researchers whose work involves functional analysis, operator theory and quantum field theory.