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In this work, we study a continuous quantum system of a mixture of bosons andfermions with the supersymmetry SU(m|n). The particles are confined in aharmonic well and interact with each other through the 1/r2 interaction. Theground state wavefunction is constructed explicitly for the most generalSU(m|n) case, with the ground state energy given explicitly. The full energyspectrum of excitations in the SU(m|n) model is also equal spaced. In thelimiting case where there are no bosons in the system, our results reduce tothose obtained previously.Comment: 9 pages, preprint of ETH-Lausanne (August 1996

SU(m|n) Supersymmetric Calogero–Sutherland Model Confined in Harmonic Potential