Quantum Inozemtsev model, quasi-exact solvability and N-fold supersymmetry

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dc.creatorSasaki, R.
dc.creatorTakasaki, K.
dc.date2001-09-03
dc.date.accessioned2026-07-07T10:53:39Z
dc.date.available2026-07-07T10:53:39Z
dc.descriptionInozemtsev models are classically integrable multi-particle dynamical systems related to Calogero-Moser models. Because of the additional q^6 (rational models) or sin^2(2q) (trigonometric models) potentials, their quantum versions are not exactly solvable in contrast with Calogero-Moser models. We show that quantum Inozemtsev models can be deformed to be a widest class of partly solvable (or quasi-exactly solvable) multi-particle dynamical systems. They posses N-fold supersymmetry which is equivalent to quasi-exact solvability. A new method for identifying and solving quasi-exactly solvable systems, the method of pre-superpotential, is presented.
dc.descriptionLaTeX2e 28 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0109008
dc.identifierhttp://arxiv.org/abs/hep-th/0109008
dc.identifierJ.Phys.A34:9533-9554,2001; Erratum-ibid.A34:10335,2001
dc.identifierdoi:10.1088/0305-4470/34/44/313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185552
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleQuantum Inozemtsev model, quasi-exact solvability and N-fold supersymmetry
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