Galetti, D.Lunardi, J. T.Pimentel, B. M.Ruzzi, M.2014-05-202014-05-202002-09-01International Journal of Theoretical Physics. New York: Kluwer Academic/plenum Publ, v. 41, n. 9, p. 1673-1687, 2002.0020-7748http://hdl.handle.net/11449/23243A study of the reducibility of the Fock space representation of the q-deformed harmonic oscillator algebra for real and root of unity values of the deformation parameter is carried out by using the properties of the Gauss polynomials. 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 nonprimitive 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.1673-1687engq-deformed algebrasq-deformed harmonic oscillatordeformation at roots of unityArtigo10.1023/A:1021055000260WOS:000179181800004Acesso restrito