A kernel function approach to exact solutions of Calogero-Moser-Sutherland type models
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
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.
Place, publisher, year, edition, pages
Stockholm: Kungliga Tekniska högskolan, 2016. , 57 p.
TRITA-FYS, ISSN 0280-316X ; 2016:58
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
Other Physics Topics
Research subject Physics
IdentifiersURN: urn:nbn:se:kth:diva-193322ISBN: 978-91-7729-132-9OAI: oai:DiVA.org:kth-193322DiVA: diva2:1001971
2016-10-27, Oskar Kleins auditorium FR4, Roslagstullsbacken 21, Stockholm, 10:00 (English)
Rosengren, Hjalmar, Associate Professor
Langmann, Edwin, Professor
QC 201610032016-10-042016-09-302016-10-04Bibliographically approved
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