The Resource Scattering theory : some old and new problems, Dimitri Yafaev
Scattering theory : some old and new problems, Dimitri Yafaev
Resource Information
The item Scattering theory : some old and new problems, Dimitri Yafaev represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Scattering theory : some old and new problems, Dimitri Yafaev represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Scattering theory is, roughly speaking, perturbation theory of selfadjoint 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 longrange 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 timedependent 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
 Language
 eng
 Extent
 1 online resource (xvi, 169 pages)
 Contents

 Part 1. The Schroedinger operator of twoparticle systems: Basic notions
 Shortrange interactions
 Asymptotic completeness
 Shortrange interactions. Miscellaneous
 Longrange interactions. The scheme of smooth perturbations
 The generalized Fourier transform
 Longrange matrix potentials
 Part 2. The scattering matrix: A stationary representation
 The shortrange case
 The longrange 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
 Isbn
 9783540451709
 Label
 Scattering theory : some old and new problems
 Title
 Scattering theory
 Title remainder
 some old and new problems
 Statement of responsibility
 Dimitri Yafaev
 Language
 eng
 Summary
 Scattering theory is, roughly speaking, perturbation theory of selfadjoint 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 longrange 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 timedependent 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
 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
 Bibliography note
 Includes bibliographical references (pages 155166) 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 twoparticle systems: Basic notions  Shortrange interactions  Asymptotic completeness  Shortrange interactions. Miscellaneous  Longrange interactions. The scheme of smooth perturbations  The generalized Fourier transform  Longrange matrix potentials  Part 2. The scattering matrix: A stationary representation  The shortrange case  The longrange 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
 Bibliography note
 Includes bibliographical references (pages 155166) 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 twoparticle systems: Basic notions  Shortrange interactions  Asymptotic completeness  Shortrange interactions. Miscellaneous  Longrange interactions. The scheme of smooth perturbations  The generalized Fourier transform  Longrange matrix potentials  Part 2. The scattering matrix: A stationary representation  The shortrange case  The longrange 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Scatteringtheorysomeoldandnewproblems/neKQf5Lqzo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Scatteringtheorysomeoldandnewproblems/neKQf5Lqzo/">Scattering theory : some old and new problems, Dimitri Yafaev</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>