Czechoslovak Journal of Physics

, Volume 56, Issue 10, pp 1081–1086

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

  • M. K. Atakishiyeva
  • N. M. Atakishiyev

DOI: 10.1007/s10582-006-0405-y

Cite this article as:
Atakishiyeva, M.K. & Atakishiyev, N.M. Czech J Phys (2006) 56: 1081. doi:10.1007/s10582-006-0405-y


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.


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 

Copyright information

© Springer 2006

Authors and Affiliations

  • M. K. Atakishiyeva
    • 1
  • N. M. Atakishiyev
    • 2
  1. 1.Facultad de CienciasUniversidad Autonoma del Estado de MorelosCuernavaca, MorelosMéxico
  2. 2.Instituto de MatemáticasUniversidad Nacional Autonoma de MexicoCuernavaca, MorelosMéxico