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Exact operator solution of the Calogero-Sutherland model

Luc Lapointe·Luc Vinet
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Abstract

The wave functions of the Calogero-Sutherland model are known to be expressible in terms of Jack polynomials. A formula which allows to obtain the wave functions of the excited states by acting with a string of creation operators on the wave function of the ground state is presented and derived. The creation operators that enter in this formula of Rodrigues-type for the Jack polynomials involve Dunkl operators.

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BibTeXRIS

Luc Lapointe, Luc Vinet. 1995-09-05. Exact operator solution of the Calogero-Sutherland model. https://doi.org/10.1007/bf02099456

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