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arXiv · 1609.07928

Truncated Calogero-Sutherland Models on a Circle

Tarun R. Tummuru·Sudhir R. Jain·Avinash Khare
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Abstract

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.

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Tarun R. Tummuru, Sudhir R. Jain, Avinash Khare. 2016-09-26. Truncated Calogero-Sutherland Models on a Circle. https://doi.org/10.1016/j.physleta.2017.10.007

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