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arXiv · 1908.00529

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

Farrokh Atai·Edwin Langmann
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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.

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Farrokh Atai, Edwin Langmann. 2019-08-01. Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation. https://doi.org/10.1093/integr%2Fxyaa001

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