Exact operator solution of the Calogero-Sutherland model

1995/09/05 by Luc Lapointe, Luc Vinet · 9 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Waves and Solitons #math.CA #math.QA #q-alg

paper · pdf · doi:10.1007/bf02099456

published as Commun. Math. Phys. 178 (1996) 425 · 35 pages, LaTeX2e with amslatex

arxiv created 1995/09/05 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Differential-difference operators associated to reflection groups

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