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Parasupersymmetric Quantum Mechanics of Order 3 and a Generalized Witten Index

Marko Stosic·Roger Picken
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Abstract

In this paper we generalize the Rubakov-Spiridonov parasupersymmetry algebra to the order 3 case. We also generalize the notion of the Witten index, and we provide a class of models satisfying our parasupersymmetry algebra. Finally, we show that there is a correspondence between the Hamiltonian and the index in our class of models.

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Marko Stosic, Roger Picken. 2004-07-11. Parasupersymmetric Quantum Mechanics of Order 3 and a Generalized Witten Index. https://doi.org/10.1142/s0217732305017846

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