On supersymmetric quantum mechanics

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dc.creatorKibler, Maurice Robert
dc.creatorDaoud, Mohammed
dc.date2004-09-25
dc.date.accessioned2026-07-07T06:10:57Z
dc.date.available2026-07-07T06:10:57Z
dc.descriptionThis paper constitutes a review on N=2 fractional supersymmetric Quantum Mechanics of order k. The presentation is based on the introduction of a generalized Weyl-Heisenberg algebra W_k. It is shown how a general Hamiltonian can be associated with the algebra W_k. This general Hamiltonian covers various supersymmetrical versions of dynamical systems (Morse system, Poschl-Teller system, fractional supersymmetric oscillator of order k, etc.). The case of ordinary supersymmetric Quantum Mechanics corresponds to k=2. A connection between fractional supersymmetric Quantum Mechanics and ordinary supersymmetric Quantum Mechanics is briefly described. A realization of the algebra W_k, of the N=2 supercharges and of the corresponding Hamiltonian is given in terms of deformed-bosons and k-fermions as well as in terms of differential operators.
dc.descriptionReview paper (31 pages) to be published in: Fundamental World of Quantum Chemistry, A Tribute to the Memory of Per-Olov Lowdin, Volume 3, E. Brandas and E.S. Kryachko (Eds.), Springer-Verlag, Berlin, 2004
dc.identifierhttps://arxiv.org/abs/quant-ph/0409169
dc.identifierhttp://arxiv.org/abs/quant-ph/0409169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92397
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleOn supersymmetric quantum mechanics
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