Abstract
The dynamical algebra of theq-deformed harmonic oscillator is constructed. As a result, we find the free deformed Hamiltonian as well as the Hamiltonian of the deformed oscillator as a complicated, momentum dependent interaction Hamiltonian in terms of the usual canonical variables. Furthermore we construct a welldefined algebraSU q(1,1) with consistent conjugation properties and comultiplication. We obtain non lowest weight representations of this algebra.
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Lorek, A., Wess, J. Dynamical symmetries inq-deformed quantum mechanics. Z. Phys. C - Particles and Fields 67, 671–679 (1995). https://doi.org/10.1007/BF01553994
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DOI: https://doi.org/10.1007/BF01553994