Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation

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.

arXiv comment26 pages

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Cited by in corpus (1)

• Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems