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Two dimensional supersymmetric harmonic oscillator carrying a representation of the GL(2/1) graded Lie algebra

arXiv:hep-th/9501110 · doi:10.1063/1.531687

Abstract

We study a supersymmetric 2-dimensional harmonic oscillator which carries a representation of the general graded Lie algebra GL(2$\vert$1), formulate it on the superspace, and discuss its physical spectrum.

Latex, 17 pages, section IV has been considerably expanded, final version to appear J.Math.Phys., Jan/96