Truncated Calogero-Sutherland models on a circle. (English) Zbl 1380.82022
Summary: We investigate a quantum many-body system with particles moving in a circle and subject to two-body and three-body potentials. This class of models, in which the range of interaction \(r\) can be set to a certain number of neighbors, extrapolates from a system with interactions up to next-to-nearest neighbors and the celebrated Calogero-Sutherland model. The exact ground state energy and a part of the excitation spectrum have been obtained.
MSC:
| 82B23 | Exactly solvable models; Bethe ansatz |
| 81Q50 | Quantum chaos |
| 81R12 | Groups and algebras in quantum theory and relations with integrable systems |
| 15B52 | Random matrices (algebraic aspects) |
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