Article

Czechoslovak Journal of Physics

, Volume 56, Issue 10, pp 1081-1086

On dynamical symmetry algebra for aq-extension of the harmonic oscillator

  • M. K. AtakishiyevaAffiliated withFacultad de Ciencias, Universidad Autonoma del Estado de Morelos
  • , N. M. AtakishiyevAffiliated withInstituto de Matemáticas, Universidad Nacional Autonoma de Mexico

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Abstract

Dynamical symmetry algebra for aq-analogue of the linear harmonic oscillator in quantum mechanics is explicitly constructed in terms ofq-difference raising and lowering operators, which factorize governing Hamiltonian for this model.

PACS

02.20.Uw 02.30.Gp 02.30.Ks 03.65.Fd

Key words

linear harmonic oscillator quantum mechanics q-extension discreteq-Hermite polynomials dynamical symmetry