Quantum integrable systems and special functions
Abstract
The wave functions of quantum CalogeroSutherland 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 \kappadeformation of ClebschGordan 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 twoparameter deformation ((q,t)deformation) introduced by Macdonald.
 Publication:

arXiv eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:mathph/0111021
 Bibcode:
 2001math.ph..11021P
 Keywords:

 Mathematical Physics
 EPrint:
 16 pages