Dynamical symmetries inq-deformed quantum mechanics |
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Authors: | A. Lorek J. Wess |
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Affiliation: | 1. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, F?hringer Ring 6, D-80805, München, Germany 2. Sektion Physik, Universit?t München, Theresienstrasse 37, D-80333, München, Germany
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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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