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

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

1996-08-05

arxiv.org/abs/cond-mat/9608015v1

Physics

Condensed Matter

9 pages, preprint of ETH-Lausanne (August 1996)

Scientific paper

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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