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

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

2001-09-03

arxiv.org/abs/hep-th/0109008v1

J.Phys.A34:9533-9554,2001; Erratum-ibid.A34:10335,2001

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e 28 pages, no figures

Scientific paper

10.1088/0305-4470/34/44/313

Inozemtsev 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.

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