On Two Approaches to Fractional Supersymmetric Quantum Mechanics
نویسنده
چکیده
Two complementary approaches ofN = 2 fractional supersymmetric quantum mechanics of order k are studied in this article. The first one, based on a generalized Weyl-Heisenberg algebra Wk (that comprizes the affine quantum algebra Uq(sl2) with q k = 1 as a special case), apparently contains solely one bosonic degree of freedom. The second one uses generalized bosonic and kfermionic degrees of freedom. As an illustration, a particular emphasis is put on the fractional supersymmetric oscillator of order k.
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