ENGLISH

Scattering Theory: Some Old and New Problems

By Dmitri R. Yafaev (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2000
ISBN
9783540675877, 3540675876
DOI
10.1007/BFb0105531
ISSN
0075-8434
LCC
QA3 .L28 no. 1735,QA377 .L28 no. 1735
Open Library ID
OL19142408M
Language
english
Format
DJVU
Filesize
1 MB (1257377 bytes)
Series
Lecture Notes in Mathematics 1735
Edition
1
Pages
176\184
Topic
Physics
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Partial Differential Equations; Mathematical and C

Description

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.

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