Irreducibility and Compositeness in q-Deformed Harmonic Oscillator Algebras

Simple item page
dc.creatorGaletti, D.
dc.creatorLunardi, J. T.
dc.creatorPimentel, B. M.
dc.creatorRuzzi, M.
dc.date2000-03-23
dc.date2000-03-29
dc.date.accessioned2026-07-07T04:34:24Z
dc.date.available2026-07-07T04:34:24Z
dc.descriptionq-Deformed harmonic oscillator algebra for real and root of unity values of the deformation parameter is discussed by using an extension of the number concept proposed by Gauss, namely the Q-numbers. A study of the reducibility of the Fock space representation which explores the properties of the Gauss polynomials is presented. When the deformation parameter is a root of unity, an interesting result comes out in the form of a reducibility scheme for the space representation which is based on the classification of the primitive or non-primitive character of the deformation parameter. An application is carried out for a q-deformed harmonic oscillator Hamiltonian, to which the reducibility scheme is explicitly applied. For finite-dimensional spaces associated to non-primitive roots of unity the compositeness of the k-fermions/quons is discussed.
dc.descriptionThe only modification in this replaced version is the spacing. Now the paper has 15 pages
dc.identifierhttps://arxiv.org/abs/math/0003143
dc.identifierhttp://arxiv.org/abs/math/0003143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58890
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleIrreducibility and Compositeness in q-Deformed Harmonic Oscillator Algebras
dc.typetext

Files

Collections

arXiv