Exact operator solution of the Calogero-Sutherland model
arXiv:q-alg/9509003 · doi:10.1007/BF02099456
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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