Singular Quadratic Forms in Perturbation Theory (Hardcover, 1999 ed.)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 474
Release date:	2001
First published:	1999
Authors:	Volodymyr Koshmanenko
Dimensions:	244 x 170 x 19mm (L x W x T)
Format:	Hardcover
Pages:	312
Edition:	1999 ed.
ISBN-13:	978-0-7923-5625-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	0-7923-5625-X
Barcode:	9780792356257

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