2000/12/15 by C. Quesne
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #quant-ph
published as Noncommutative Structures in Mathematics and Physics, eds. S. Duplij and J. Wess (Kluwer, Dordrecht, 2001) pp. 203-213 · LaTeX2e, 13 pages, no figures, communication at the NATO Advanced Research Workshop ``Noncommutative Structures in Mathematics and Physics'', Kiev, 24-27 September, 2000
arxiv created 2000/12/15 · arxiv updated 2009/11/30
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 Cλ-extended oscillator algebras, where Cλ is the cyclic group of order~λ.