Source identity and kernel functions for elliptic Calogero-Sutherland type systems
Mathematical Physics
2015-05-18 v2 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1003.0857,
title = {Source identity and kernel functions for elliptic Calogero-Sutherland type systems},
author = {Edwin Langmann},
journal= {arXiv preprint arXiv:1003.0857},
year = {2015}
}
Comments
v1: 12 pages. v2: 13 pages; typos corrected; one reference added