Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation
arXiv:1908.00529 · doi:10.1093/integr/xyaa001
Abstract
We use generalized kernel functions to construct explicit solutions by integrals of the non-stationary Schrödinger 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.
26 pages