Source Identity and Kernel Functions for Elliptic Calogero-Sutherland Type Systems

作者：Langmann Edwin^*

来源：Letters in Mathematical Physics, 2010, 94(1): 63-75.

DOI：10.1007/s11005-010-0416-2

• Calogero-Sutherland type systems
• kernel identities
• elliptic functions

Kernel functions related to quantum many-body systems of Calogero-Sutherland type are discussed, in particular for the elliptic case. The main result is an elliptic generalization of an identity due to Sen that is a source for many such kernel functions. Applications are given, including simple exact eigenfunctions and corresponding eigenvalues of Chalykh-Feigin-Veselov-Sergeev-type deformations of the elliptic Calogero-Sutherland model for special parameter values.

• 出版日期2010-10