Explicit formulas for the generalized Hermite polynomials in superspace

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dc.creatorDesrosiers, Patrick
dc.creatorLapointe, Luc
dc.creatorMathieu, Pierre
dc.date2003-09-05
dc.date2003-10-31
dc.date.accessioned2026-07-07T10:49:44Z
dc.date.available2026-07-07T10:49:44Z
dc.descriptionWe 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.
dc.description19 pages. This is a recasting of the second part of the first version of hep-th/0305038 which has been splitted in two articles. In this revised version, the introduction has been rewritten and a new appendix has been added. To appear in JPA
dc.identifierhttps://arxiv.org/abs/hep-th/0309067
dc.identifierhttp://arxiv.org/abs/hep-th/0309067
dc.identifierJ.Phys.A37:1251-1268,2004
dc.identifierdoi:10.1088/0305-4470/37/4/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184320
dc.subjectHigh Energy Physics - Theory
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.titleExplicit formulas for the generalized Hermite polynomials in superspace
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