On Two Approaches to Fractional Supersymmetric Quantum Mechanics
Abstract
Two complementary approaches of N = 2 fractional supersymmetric quantum mechanics of order k are studied in this article. The first one, based on a generalized Weyl-Heisenberg algebra W(k) (that comprizes the affine quantum algebra Uq(sl(2)) with q to k = 1 as a special case), apparently contains solely one bosonic degree of freedom. The second one uses generalized bosonic and k-fermionic degrees of freedom. As an illustration, a particular emphasis is put on the fractional supersymmetric oscillator of order k.
Keywords
Cite
@article{arxiv.math-ph/0110031,
title = {On Two Approaches to Fractional Supersymmetric Quantum Mechanics},
author = {M. Daoud and M. Kibler},
journal= {arXiv preprint arXiv:math-ph/0110031},
year = {2007}
}
Comments
25 pages, LaTex file, based on a talk given by M. Kibler at the "IX International Conference on Symmetry Methods in Physics" (Yerevan, Armenia, 3-8 July 2001) organized by the Joint Institute for Nuclear Research (Dubna, Russia) and the Yerevan State University (Yerevan, Armenia)