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Quantum Inozemtsev model, quasi-exact solvability and ๐’ฉ-fold supersymmetry

Quantum Inozemtsev model, quasi-exact solvability and ๐’ฉ-fold supersymmetry

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 โ€ฆ