Truncated Calogero-Sutherland Models on a Circle
  We investigate a quantum many-body system with particles moving on a circle and subject to two-body and three-body potentials. In this new class of models, that extrapolates from the celebrated Calogero-Sutherland model and a system with interactions among nearest and next-to-nearest neighbors, the interactions can be tuned as a function of range. We determine the exact ground state energy and wavefunction and obtain a part of the excitation spectrum. 
Tarun R. Tummuru, Sudhir R. Jain, Avinash Khare
quant-ph cond-mat.stat-mech math-ph math.MP nlin.SI