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On Fractional Supersymmetric Quantum Mechanics: The Fractional Supersymmetric Oscillator

M. Daoud·M. R. Kibler
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Abstract

The Hamiltonian for a fractional supersymmetric oscillator is derived from three approaches. The first one is based on a decomposition in which a Q-uon gives rise to an ordinary boson and a k-fermion (a k-fermion being an object interpolating between boson and fermion). The second one starts from a generalized Weyl-Heisenberg algebra. Finally, the third one relies on the quantum algebra Uq(sl(2)) where q is a root of unity.

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BibTeXRIS

M. Daoud, M. R. Kibler. 2001-01-08. On Fractional Supersymmetric Quantum Mechanics: The Fractional Supersymmetric Oscillator. https://doi.org/10.1142/9789812811479_0046

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