Quantum integrable systems and special functions

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dc.creatorPerelomov, A. M.
dc.date2001-11-12
dc.date.accessioned2026-07-07T04:28:45Z
dc.date.available2026-07-07T04:28:45Z
dc.descriptionThe wave functions of quantum Calogero-Sutherland systems for trigonometric case are related to polynomials in l variables (l is a rank of root system) and they are the generalization of Gegenbauer polynomials and Jack polynomials. Using the technique of κ-deformation of Clebsch-Gordan series developed in previous authors papers we investigate some new properties of generalized Gegenbauer polynomials.Note that similar results are also valid in A_2 case for more general two-parameter deformation ((q,t)-deformation) introduced by Macdonald.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0111021
dc.identifierhttp://arxiv.org/abs/math-ph/0111021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56907
dc.subjectMathematical Physics
dc.titleQuantum integrable systems and special functions
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