, Volume 56, Issue 10-11, pp 1081-1086

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

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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.

Presented at the 15th International Colloquium on “Integrable Systems and Quantum Symmetries”, Prague, 15–17 June 2006.