Exact operator solution of the Calogero-Sutherland model

Details Exact operator solution of the Calogero-Sutherland model Exact operator solution of the Calogero-Sutherland model

1995-09-05

arxiv.org/abs/q-alg/9509003v1

Commun. Math. Phys. 178 (1996) 425

Mathematics

Classical Analysis and ODEs

35 pages, LaTeX2e with amslatex

Scientific paper

10.1007/BF02099456

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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