Two-dimensional supersymmetric harmonic oscillator carrying a representation of the \(GL(2\mid 1)\) graded Lie algebra. (English) Zbl 0860.17048
Summary: We study a supersymmetric two-dimensional harmonic oscillator which carries a representation of the general graded Lie algebra \(\text{GL} (2|1)\), formulate it on the superspace, and discuss its physical spectrum.
MSC:
| 17B70 | Graded Lie (super)algebras |
| 81Q60 | Supersymmetry and quantum mechanics |
| 81R05 | Finite-dimensional groups and algebras motivated by physics and their representations |
References:
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