Para, pseudo, and orthosupersymmetric quantum mechanics and their bosonization

Details Para, pseudo, and orthosupersymmetric quantum mechanics and their bosonization Para, pseudo, and orthosupersymmetric quantum mechanics and their bosonization

2000-12-15

arxiv.org/abs/math-ph/0012033v1

Noncommutative Structures in Mathematics and Physics, eds. S. Duplij and J. Wess (Kluwer, Dordrecht, 2001) pp. 203-213

Physics

Mathematical Physics

LaTeX2e, 13 pages, no figures, communication at the NATO Advanced Research Workshop ``Noncommutative Structures in Mathematics

Scientific paper

We consider the problem of bosonizing supersymmetric quantum mechanics (SSQM) and some of its variants, i.e., of realizing them in terms of only boson-like operators without fermion-like ones. In the SSQM case, this is realized in terms of the generators of the Calogero-Vasiliev algebra (also termed deformed Heisenberg algebra with reflection). In that of the SSQM variants, this is done by considering generalizations of the latter algebra, namely the $C_{\lambda}$-extended oscillator algebras, where $C_{\lambda}$ is the cyclic group of order~$\lambda$.

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