Explicit formulas for the generalized Hermite polynomials in superspace
نویسندگان
چکیده
We provide explicit formulas for the orthogonal eigenfunctions of the supersymmetric extension of the rational Calogero-Moser-Sutherlandmodel 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. [email protected] [email protected] [email protected]
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