Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model

Abstract

We present two constructions of the orthogonal eigenfunctions of the supersymmetric extension of the rational Calogero-Moser-Sutherland model with harmonic confinement. These eigenfunctions are the superspace extension of the generalized Hermite (or Hi-Jack) polynomials. The conserved quantities of the rational supersymmetric model are first related to… (More)

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