A Fractional Supersymmetric Oscillator and Its Coherent States

Simple item page
dc.creatorDaoud, Mohammed
dc.creatorKibler, Maurice
dc.date1999-12-30
dc.date.accessioned2026-07-07T04:33:09Z
dc.date.available2026-07-07T04:33:09Z
dc.descriptionWe review some basic elements on k-fermions, which are objects interpolating between bosons and fermions. In particular, we define k-fermionic coherent states and study some of their properties. The decomposition of a Q-uon into a boson and a k-fermion leads to a definition of fractional supercoherent states. Such states involve bosonic coherent states and k-fermionic coherent states. We construct 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 fractional supercoherent states are coherent states.
dc.description15 pages, Latex file. Paper written from a plenary talk presented (by M.K.) at the ``Sixth International Wigner Symposium'', Istanbul (Turkey), 16- 22 August 1999. Submitted for publication in Turkish Journal of Physics
dc.identifierhttps://arxiv.org/abs/math-ph/9912024
dc.identifierhttp://arxiv.org/abs/math-ph/9912024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58469
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleA Fractional Supersymmetric Oscillator and Its Coherent States
dc.typetext

Files

Collections

arXiv