Truncated Calogero-Sutherland Models on a Circle
Quantum Physics
2017-11-22 v1 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1609.07928,
title = {Truncated Calogero-Sutherland Models on a Circle},
author = {Tarun R. Tummuru and Sudhir R. Jain and Avinash Khare},
journal= {arXiv preprint arXiv:1609.07928},
year = {2017}
}
Comments
8 pages, 1 figure