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

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

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Publication:3106667

DOI10.1142/S0217979297000952zbMATH Open1229.81354arXivcond-mat/9608015MaRDI QIDQ3106667

Author name not available (Why is that?)

Publication date: 29 December 2011

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/cond-mat/9608015




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