Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation
Mathematical Physics
2020-03-27 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We use generalized kernel functions to construct explicit solutions by integrals of the non-stationary Schr\"odinger equation for the Hamiltonian of the elliptic Calogero-Sutherland model (also known as elliptic Knizhnik-Zamolodchikov-Bernard equation). Our solutions provide integral represenations of elliptic generalizations of the Jack polyomials.
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Cite
@article{arxiv.1908.00529,
title = {Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation},
author = {Farrokh Atai and Edwin Langmann},
journal= {arXiv preprint arXiv:1908.00529},
year = {2020}
}
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26 pages