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Zbl 0859.35103
Lapointe, Luc; Vinet, Luc
Exact operator solution of the Calogero-Sutherland model. (English)
[J] Commun. Math. Phys. 178, No.2, 425-452 (1996). ISSN 0010-3616; ISSN 1432-0916/e

Summary: 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.

MSC 2000:: *35Q40 PDE from quantum mechanics
82B23 Exactly solvable models
33E15 Other wave functions

Keywords: Calogero-Sutherland model; Jack polynomials; wave functions; excited states; ground state; Dunkl operators

Cited in: Zbl 0939.05090 Zbl 0903.33009 Zbl 0868.33009

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