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A fractional supersymmetric oscillator and its coherent states

Abstract : We review some basic elements on k-fermions, which are objects interpolatingbetween bosons and fermions. In particular, we define k-fermionic coherentstates and study some of their properties. The decomposition of a Q-uon into aboson and a k-fermion leads to a definition of fractional supercoherent states.Such states involve bosonic coherent states and k-fermionic coherent states. Weconstruct an Hamiltonian which generalizes the ordinary (or Z_2-graded)supersymmetric oscillator Hamiltonian. Our Hamiltonian describes a fractional(or Z_k-graded) supersymmetric oscillator for which the fractionalsupercoherent states are coherent states.
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Contributor : Sylvie Flores <>
Submitted on : Wednesday, December 11, 2002 - 8:29:52 AM
Last modification on : Thursday, March 26, 2020 - 4:31:45 PM

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M. Daoud, M. Kibler. A fractional supersymmetric oscillator and its coherent states. International Wigner Symposium 6, Aug 1999, Istanbul, Turkey. pp.125-139. ⟨in2p3-00011585⟩



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