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arXiv · hep-th/9305129

Extended Fractional Supersymmetric Quantum Mechanics

Stephane Durand
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Abstract

Recently, we presented a new class of quantum-mechanical Hamiltonians which can be written as the $F^{th}$ power of a conserved charge: $H=Q^F$ with $F=2,3,...\,.$ This construction, called fractional supersymmetric quantum mechanics, was realized in terms of a paragrassmann variable $θ$ of order $F$, which satisfies $θ^F=0$. Here, we present an alternative realization of such an algebra in which the internal space of the Hamiltonians is described by a tensor product of two paragrassmann variables of orders $F$ and $F-1$ respectively. In particular, we find $q$-deformed relations (where $q$ are roots of unity) between different conserved charges. (To appear in "Mod.Phys.Lett.A")

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Stephane Durand. 1993-05-25. Extended Fractional Supersymmetric Quantum Mechanics. https://doi.org/10.1142/s0217732393001513

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