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arXiv · 2108.06243

Minimal bosonization of double-graded supersymmetric quantum mechanics

C. Quesne
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Abstract

The superalgebra of $\Z_2^2$-graded supersymmetric quantum mechanics is shown to be realizable in terms of a single bosonic degree of freedom. Such an approach is directly inspired by a description of the corresponding $\Z_2$-graded superalgebra in the framework of a Calogero-Vasiliev algebra or, more generally, of a generalized deformed oscillator algebra. In the case of the $\Z_2^2$-graded superalgebra, the central element $Z$ has the property of distinguishing between degenerate eigenstates of the Hamiltonian.

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BibTeXRIS

C. Quesne. 2021-08-13. Minimal bosonization of double-graded supersymmetric quantum mechanics. https://doi.org/10.1142/s0217732321502382

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