A Family of Quasi-solvable Quantum Many-body Systems

Details A Family of Quasi-solvable Quantum Many-body Systems A Family of Quasi-solvable Quantum Many-body Systems

2002-02-16

arxiv.org/abs/hep-th/0202101v2

Phys.Lett. B567 (2003) 100-106

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, REVTeX4, final version

Scientific paper

10.1016/S0370-2693(03)00866-9

We construct a family of quasi-solvable quantum many-body systems by an algebraic method. The models contain up to two-body interactions and have permutation symmetry. We classify these models under the consideration of invariance property. It turns out that this family includes the rational, hyperbolic (trigonometric) and elliptic Inozemtsev models as the particular cases.

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