Exact operator solution of the Calogero-Sutherland model
q-alg
2009-10-28 v1 Classical Analysis and ODEs
Quantum Algebra
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.
Cite
@article{arxiv.q-alg/9509003,
title = {Exact operator solution of the Calogero-Sutherland model},
author = {Luc Lapointe and Luc Vinet},
journal= {arXiv preprint arXiv:q-alg/9509003},
year = {2009}
}
Comments
35 pages, LaTeX2e with amslatex