skip to content
Variable phase approach to potential scattering Preview this item
ClosePreview this item
Checking...

Variable phase approach to potential scattering

Author: Francesco Calogero
Publisher: Amsterdam : Elsevier Science, 1967.
Series: Mathematics in science and engineering, v. 35.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Studies theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. This title considers many computing techniques, such as methods of operator  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Francesco Calogero
ISBN: 9780121555504 012155550X
OCLC Number: 428099651
Description: 1 online resource (x, 244 pages).
Contents: Review of scattering theory --
Derivation of the phase equation --
Discussion of the phase equation and of the behavior of the phase function : procedures for the numerical computation of scattering phase shifts --
Phase function, examples --
Connection between phase function and radial wave function : the amplitude function --
Bounds on the scattering phase shift and on its variation with energy --
Born approximation and improved Born approximation --
Variational and extremum principles for evaluationg scattering phase shifts --
Born approximation, improved Born approximation, variational and extremum principles --
Low-energy expansion, scattering length and effective range, bounds on the zero-energy cross section --
Scattering length and its approximate and variational expressions --
Scattering length and its approximate and variational expressions --
Generalized formulation of the phase method, other types of phase equations --
Simultaneous maximum and minimum principles for the evaluation of scattering phase shifts --
Scattering on singular potentials, high-energy behavior and approximate expression of the scattering phase shift in this case --
Further generalization of the phase method --
Scattering of Dirac particles --
Scattering on nonlocal potentials and on complex potentials --
Multichannel case --
Bound states, discussion of the pole equation and of the behavior of the pole functions for q> 0 --
Behavior of pole functions and computation of binding energies --
Relation between the number of bound states and the value of the scattering phase shift at zero energy (Levinson's theorem) --
Bounds on the number and energies of bound states in a given potential, necessary and sufficient conditions for the existence of bound states.
Series Title: Mathematics in science and engineering, v. 35.
Responsibility: [edited by] F. Calogero.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(1)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/428099651> # Variable phase approach to potential scattering
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
   library:oclcnum "428099651" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/ne> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1400215#Place/amsterdam> ; # Amsterdam
   schema:about <http://dewey.info/class/539.758/e22/> ;
   schema:about <http://id.worldcat.org/fast/1073488> ; # Potential scattering
   schema:bookFormat schema:EBook ;
   schema:contributor <http://viaf.org/viaf/44578153> ; # Francesco Calogero
   schema:datePublished "1967" ;
   schema:description "Review of scattering theory -- Derivation of the phase equation -- Discussion of the phase equation and of the behavior of the phase function : procedures for the numerical computation of scattering phase shifts -- Phase function, examples -- Connection between phase function and radial wave function : the amplitude function -- Bounds on the scattering phase shift and on its variation with energy -- Born approximation and improved Born approximation -- Variational and extremum principles for evaluationg scattering phase shifts -- Born approximation, improved Born approximation, variational and extremum principles -- Low-energy expansion, scattering length and effective range, bounds on the zero-energy cross section -- Scattering length and its approximate and variational expressions -- Scattering length and its approximate and variational expressions -- Generalized formulation of the phase method, other types of phase equations -- Simultaneous maximum and minimum principles for the evaluation of scattering phase shifts -- Scattering on singular potentials, high-energy behavior and approximate expression of the scattering phase shift in this case -- Further generalization of the phase method -- Scattering of Dirac particles -- Scattering on nonlocal potentials and on complex potentials -- Multichannel case -- Bound states, discussion of the pole equation and of the behavior of the pole functions for q> 0 -- Behavior of pole functions and computation of binding energies -- Relation between the number of bound states and the value of the scattering phase shift at zero energy (Levinson's theorem) -- Bounds on the number and energies of bound states in a given potential, necessary and sufficient conditions for the existence of bound states."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1400215> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1400215#Series/mathematics_in_science_and_engineering> ; # Mathematics in science and engineering ;
   schema:name "Variable phase approach to potential scattering"@en ;
   schema:productID "428099651" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/428099651#PublicationEvent/amsterdam_elsevier_science_1967> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1400215#Agent/elsevier_science> ; # Elsevier Science
   schema:url <http://www.sciencedirect.com/science/book/9780121555504> ;
   schema:url <http://www.sciencedirect.com/science/bookseries/00765392/35> ;
   schema:workExample <http://worldcat.org/isbn/9780121555504> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/428099651> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1400215#Agent/elsevier_science> # Elsevier Science
    a bgn:Agent ;
   schema:name "Elsevier Science" ;
    .

<http://experiment.worldcat.org/entity/work/data/1400215#Series/mathematics_in_science_and_engineering> # Mathematics in science and engineering ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/428099651> ; # Variable phase approach to potential scattering
   schema:name "Mathematics in science and engineering ;" ;
   schema:name "Mathematics in Science and Engineering ;" ;
    .

<http://id.worldcat.org/fast/1073488> # Potential scattering
    a schema:Intangible ;
   schema:name "Potential scattering"@en ;
    .

<http://viaf.org/viaf/44578153> # Francesco Calogero
    a schema:Person ;
   schema:birthDate "1955" ;
   schema:familyName "Calogero" ;
   schema:givenName "Francesco" ;
   schema:name "Francesco Calogero" ;
    .

<http://worldcat.org/isbn/9780121555504>
    a schema:ProductModel ;
   schema:isbn "012155550X" ;
   schema:isbn "9780121555504" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.