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 particular cases. (C) 2003 Elsevier B.V. All rights reserved.
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RIKEN CPR, Condensed Matter Theory Lab, Wako, Saitama 3510198, JapanRIKEN CPR, Condensed Matter Theory Lab, Wako, Saitama 3510198, Japan
Yao, Yuan
Oshikawa, Masaki
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Univ Tokyo, Inst Solid State Phys, Kashiwa, Chiba 2778581, Japan
Univ Tokyo, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan
Univ Tokyo, Trans Scale Quantum Sci Inst, Bunkyo Ku, Tokyo 1130033, JapanRIKEN CPR, Condensed Matter Theory Lab, Wako, Saitama 3510198, Japan
Oshikawa, Masaki
Furusaki, Akira
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RIKEN CPR, Condensed Matter Theory Lab, Wako, Saitama 3510198, Japan
RIKEN CEMS, Quantum Matter Theory Res Team, Wako, Saitama 3510198, JapanRIKEN CPR, Condensed Matter Theory Lab, Wako, Saitama 3510198, Japan