Parasupersymmetric Quantum Mechanics of Order 3 and a Generalized Witten Index
Mathematical Physics
2009-11-10 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0407019,
title = {Parasupersymmetric Quantum Mechanics of Order 3 and a Generalized Witten Index},
author = {Marko Stosic and Roger Picken},
journal= {arXiv preprint arXiv:math-ph/0407019},
year = {2009}
}