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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Communicated by G. Felder
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Lapointe, L., Vinet, L. Exact operator solution of the Calogero-Sutherland model. Commun.Math. Phys. 178, 425–452 (1996). https://doi.org/10.1007/BF02099456
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DOI: https://doi.org/10.1007/BF02099456