Coverart for item
The Resource Scattering theory : some old and new problems, Dimitri Yafaev

Scattering theory : some old and new problems, Dimitri Yafaev

Label
Scattering theory : some old and new problems
Title
Scattering theory
Title remainder
some old and new problems
Statement of responsibility
Dimitri Yafaev
Creator
Subject
Language
eng
Summary
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 Schrdinger 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 Schrdinger 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
Member of
Cataloging source
BUF
http://library.link/vocab/creatorDate
1948-
http://library.link/vocab/creatorName
I︠A︡faev, D. R.
Dewey number
515.353
Illustrations
illustrations
Index
index present
LC call number
QA3
LC item number
.L28 no. 1735
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1735
http://library.link/vocab/subjectName
  • Scattering (Mathematics)
  • Scattering (Mathematics)
  • Partiële differentiaalvergelijkingen
  • Verstrooiing
  • Equacoes diferenciais parciais
Label
Scattering theory : some old and new problems, Dimitri Yafaev
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 155-166) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Part 1. The Schroedinger operator of two-particle systems: Basic notions -- Short-range interactions -- Asymptotic completeness -- Short-range interactions. Miscellaneous -- Long-range interactions. The scheme of smooth perturbations -- The generalized Fourier transform -- Long-range matrix potentials -- Part 2. The scattering matrix: A stationary representation -- The short-range case -- The long-range case -- The relative scattering matrix -- Part 3. The multiparticle Schroedinger operator and related problems: Setting the scattering problem -- Resolvent equations -- Asymptotic completeness -- A sketch of proof -- The scattering matrix for multiparticle systems -- New channels of scattering -- The Heisenberg model -- Infinite obstacle scattering
Control code
162126542
Dimensions
unknown
Extent
1 online resource (xvi, 169 pages)
Form of item
online
Isbn
9783540451709
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)162126542
Label
Scattering theory : some old and new problems, Dimitri Yafaev
Publication
Bibliography note
Includes bibliographical references (pages 155-166) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Part 1. The Schroedinger operator of two-particle systems: Basic notions -- Short-range interactions -- Asymptotic completeness -- Short-range interactions. Miscellaneous -- Long-range interactions. The scheme of smooth perturbations -- The generalized Fourier transform -- Long-range matrix potentials -- Part 2. The scattering matrix: A stationary representation -- The short-range case -- The long-range case -- The relative scattering matrix -- Part 3. The multiparticle Schroedinger operator and related problems: Setting the scattering problem -- Resolvent equations -- Asymptotic completeness -- A sketch of proof -- The scattering matrix for multiparticle systems -- New channels of scattering -- The Heisenberg model -- Infinite obstacle scattering
Control code
162126542
Dimensions
unknown
Extent
1 online resource (xvi, 169 pages)
Form of item
online
Isbn
9783540451709
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)162126542

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