SU(m|n) supersymmetric Calogero-Sutherland model confined in harmonic potential
Condensed Matter
2015-06-25 v1 High Energy Physics - Theory
Abstract
In this work, we study a continuous quantum system of a mixture of bosons and fermions with the supersymmetry SU(m|n). The particles are confined in a harmonic well and interact with each other through the 1/r2 interaction. The ground state wavefunction is constructed explicitly for the most general SU(m|n) case, with the ground state energy given explicitly. The full energy spectrum of excitations in the SU(m|n) model is also equal spaced. In the limiting case where there are no bosons in the system, our results reduce to those obtained previously.
Keywords
Cite
@article{arxiv.cond-mat/9608015,
title = {SU(m|n) supersymmetric Calogero-Sutherland model confined in harmonic potential},
author = {C. A. Piguet and D. F. Wang and C. Gruber},
journal= {arXiv preprint arXiv:cond-mat/9608015},
year = {2015}
}
Comments
9 pages, preprint of ETH-Lausanne (August 1996)