Source Identities and Kernel Functions for Deformed (Quantum) Ruijsenaars Models

作者：Atai Farrokh; Hallnaes Martin; Langmann Edwin^*

来源：Letters in Mathematical Physics, 2014, 104(7): 811-835.

DOI：10.1007/s11005-014-0690-5

• exactly solvable models
• Ruijsenaars models
• Chalykh-Feigin-Veselov-Sergeev type deformation
• kernel functions

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.

• 出版日期2014-7