Explicit formulas for the generalized Hermite polynomials in superspace

Details Explicit formulas for the generalized Hermite polynomials in superspace Explicit formulas for the generalized Hermite polynomials in superspace

2003-09-05

arxiv.org/abs/hep-th/0309067v2

J.Phys.A37:1251-1268,2004

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. This is a recasting of the second part of the first version of hep-th/0305038 which has been splitted in two article

Scientific paper

10.1088/0305-4470/37/4/013

We provide explicit formulas for the orthogonal eigenfunctions of the supersymmetric extension of the rational Calogero-Moser-Sutherland model with harmonic confinement, i.e., the generalized Hermite (or Hi-Jack) polynomials in superspace. The construction relies on the triangular action of the Hamiltonian on the supermonomial basis. This translates into determinantal expressions for the Hamiltonian's eigenfunctions.

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