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SU(m|n) supersymmetric Calogero-Sutherland model confined in harmonic potential

C. A. Piguet·D. F. Wang·C. Gruber
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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.

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C. A. Piguet, D. F. Wang, C. Gruber. 1996-08-05. SU(m|n) supersymmetric Calogero-Sutherland model confined in harmonic potential. https://doi.org/10.1142/s0217979297000952

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