Title of lectures
Special functions associated with integrable quantum systems
Lecturer:
Simon RUIJSENAARS, CWI Amsterdam
Outline:
Special functions arising in relativistic integrable generalization of
Calogero-Moser-Sutherland systems. Commuting analytic difference
operators. Special functions as solutions to analytic difference
equations. "Relativistic" generalizations of the Euler gamma function,
Gauss hypergeometric function and the Lam\'e function. Quantum-mechanical
aspects of these functions.
References:
S. N. M. Ruijsenaars,
Systems of Calogero-Moser type, in {\it ``Proceedings of the
1994 Banff summer school Particles and fields''} (G. Semenoff,
L. Vinet, Eds.), pp.~251--352 (Springer, New York, 1999).