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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/23243
Title: 
Irreducibility and compositeness in q-deformed harmonic oscillator algebras
Author(s): 
Institution: 
Universidade Estadual Paulista (UNESP)
ISSN: 
0020-7748
Abstract: 
A 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.
Issue Date: 
1-Sep-2002
Citation: 
International Journal of Theoretical Physics. New York: Kluwer Academic/plenum Publ, v. 41, n. 9, p. 1673-1687, 2002.
Time Duration: 
1673-1687
Publisher: 
Kluwer Academic/plenum Publ
Keywords: 
  • q-deformed algebras
  • q-deformed harmonic oscillator
  • deformation at roots of unity
Source: 
http://dx.doi.org/10.1023/A:1021055000260
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/23243
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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