Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Source Identities and Kernel Functions for Deformed (Quantum) Ruijsenaars Models
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
2014 (engelsk)Inngår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 104, nr 7, s. 811-835Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider the relativistic generalization of the quantum A (N-1) Calogero-Sutherland models due to Ruijsenaars, comprising the rational, hyperbolic, trigonometric and elliptic cases. For each of these cases, we find an exact common eigenfunction for a generalization of Ruijsenaars analytic difference operators that gives, as special cases, many different kernel functions; in particular, we find kernel functions for Chalykh-Feigin-Veselov-Sergeev-type deformations of such difference operators which generalize known kernel functions for the Ruijsenaars models. We also discuss possible applications of our results.

sted, utgiver, år, opplag, sider
2014. Vol. 104, nr 7, s. 811-835
Emneord [en]
exactly solvable models, Ruijsenaars models, Chalykh-Feigin-Veselov-Sergeev type deformation, kernel functions
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-147020DOI: 10.1007/s11005-014-0690-5ISI: 000336412300002Scopus ID: 2-s2.0-84901603241OAI: oai:DiVA.org:kth-147020DiVA, id: diva2:728896
Forskningsfinansiär
Swedish Research Council, 621-2010-3708
Merknad

QC 20140625

Tilgjengelig fra: 2014-06-25 Laget: 2014-06-23 Sist oppdatert: 2017-12-05bibliografisk kontrollert
Inngår i avhandling
1. A kernel function approach to exact solutions of Calogero-Moser-Sutherland type models
Åpne denne publikasjonen i ny fane eller vindu >>A kernel function approach to exact solutions of Calogero-Moser-Sutherland type models
2016 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
Abstract [en]

This Doctoral thesis gives an introduction to the concept of kernel functionsand their signicance in the theory of special functions. Of particularinterest is the use of kernel function methods for constructing exact solutionsof Schrodinger type equations, in one spatial dimension, with interactions governedby elliptic functions. The method is applicable to a large class of exactlysolvable systems of Calogero-Moser-Sutherland type, as well as integrable generalizationsthereof. It is known that the Schrodinger operators with ellipticpotentials have special limiting cases with exact eigenfunctions given by orthogonalpolynomials. These special cases are discussed in greater detail inorder to explain the kernel function methods with particular focus on the Jacobipolynomials and Jack polynomials.

sted, utgiver, år, opplag, sider
Stockholm: Kungliga Tekniska högskolan, 2016. s. 57
Serie
TRITA-FYS, ISSN 0280-316X ; 2016:58
Emneord
Kernel functions, Calogero-Moser-Sutherland models, Ruijsenaarsvan Diejen models, Elliptic functions, Exact solutions, Source Identities, Chalykh- Feigin-Sergeev-Veselov type deformations, non-stationary Heun equation
HSV kategori
Forskningsprogram
Fysik
Identifikatorer
urn:nbn:se:kth:diva-193322 (URN)978-91-7729-132-9 (ISBN)
Disputas
2016-10-27, Oskar Kleins auditorium FR4, Roslagstullsbacken 21, Stockholm, 10:00 (engelsk)
Opponent
Veileder
Merknad

QC 20161003

Tilgjengelig fra: 2016-10-04 Laget: 2016-09-30 Sist oppdatert: 2016-10-04bibliografisk kontrollert

Open Access i DiVA

Fulltekst mangler i DiVA

Andre lenker

Forlagets fulltekstScopus

Søk i DiVA

Av forfatter/redaktør
Atai, FarrokhLangmann, Edwin
Av organisasjonen
I samme tidsskrift
Letters in Mathematical Physics

Søk utenfor DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 442 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf