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- W3105532912 abstract "It is shown that the ${cal N}=1$ supersymmetric quantum mechanics (SQM) can be extended to a $mathbb{Z}_2^n$-graded superalgebra. This is done by presenting quantum mechanical models which realize, with the aid of Clifford gamma matrices, the $mathbb{Z}_2^n$-graded Poincar'e algebra in one-dimensional spacetime. Reflecting the fact that the $mathbb{Z}_2^n$-graded Poincar'e algebra has a number of central elements, a sequence of models defining the $mathbb{Z}_2^n$-graded version of SQM are provided for a given value of $n.$ In a model of the sequence, the central elements having the same $mathbb{Z}_2^n$-degree are realized as dependent or independent operators. It is observed that as use the Clifford algebra of lager dimension, more central elements are realized as independent operators." @default.
- W3105532912 created "2020-11-23" @default.
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- W3105532912 date "2020-05-01" @default.
- W3105532912 modified "2023-09-27" @default.
- W3105532912 title "Z2n-graded extensions of supersymmetric quantum mechanics via Clifford algebras" @default.
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- W3105532912 doi "https://doi.org/10.1063/1.5144325" @default.
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