Source identity and kernel functions for elliptic Calogero-Sutherland type systems

Details Source identity and kernel functions for elliptic Calogero-Sutherland type systems Source identity and kernel functions for elliptic Calogero-Sutherland type systems

2010-03-03

arxiv.org/abs/1003.0857v2

Lett. Math. Phys. (2010) 94: 63-75

Physics

Mathematical Physics

v1: 12 pages. v2: 13 pages; typos corrected; one reference added

Scientific paper

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.

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