Scattering Theory: Some Old and New Problems

Dmitri R. Yafaev

ISBN 10: 3540675876 / ISBN 13: 9783540675877

Published by Springer, Springer Vieweg Jun 2000, 2000

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 192 pp. Englisch.

Seller Inventory # 9783540675877

Bibliographic Details

• Title: Scattering Theory: Some Old and New Problems
• Publisher: Springer, Springer Vieweg Jun 2000
• Publication Date: 2000
• Language: English
• ISBN 10: 3540675876
• ISBN 13: 9783540675877
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 233W x 155H x 11D millimeters 233 millimeters width by 155 millimeters height by 11 millimeters depth
• Weight: 298 grams

About this title

Synopsis

Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject.