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 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
- Language
- eng
- Extent
- 1 online resource (xvi, 169 pages)
- 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
- 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 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
- 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 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
- 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
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Scattering-theory--some-old-and-new-problems/neKQf5Lq-zo/" 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/Scattering-theory--some-old-and-new-problems/neKQf5Lq-zo/">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>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Scattering theory : some old and new problems, Dimitri Yafaev
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Scattering-theory--some-old-and-new-problems/neKQf5Lq-zo/" 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/Scattering-theory--some-old-and-new-problems/neKQf5Lq-zo/">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>
