Two oscillators quantum groups and associated deformed coherent states

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dc.creatorAlvarez-Moraga, Nibaldo
dc.date2005-03-21
dc.date.accessioned2026-07-07T04:31:58Z
dc.date.available2026-07-07T04:31:58Z
dc.descriptionStarting from a faithful five-dimensional matrix representation of the group of two independent oscillators and applying the R-matrix method we generate some classes of deformed fermionic-bosonic quantum Hopf algebras. The corresponding Lie deformed superalgebras of type I--II, obtained by duality, are computed and a realization of generators of these deformed superalgebras are given in terms of the usual fermionic and bosonic creation and annihilation operators associated to the supersymmetric harmonic oscillator. Then, a generalized deformed annihilator is construted and their eigenstates are computed giving a new class of deformed coherent states.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0503050
dc.identifierhttp://arxiv.org/abs/math-ph/0503050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58016
dc.subjectMathematical Physics
dc.titleTwo oscillators quantum groups and associated deformed coherent states
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