Singular Quadratic Forms in Perturbation Theory

Name: Singular Quadratic Forms in Perturbation Theory
Brand: Springer
SKU: 9789401059527
Price: 105.3 EUR
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Автор: Volodymyr Koshmanenko

Език:

Корици: С меки корици

Издател: Springer

Наличност: Външен склад

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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 меки корици

Издадена

2012

страници

312

EAN

9789401059527

ISBN

9401059527

Enbook ID

02258233

Издател

Springer

Теглоt

520

Размери

160 x 240 x 18

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.

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Singular Quadratic Forms in Perturbation Theory

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