dorsal/arxiv
View SchemaDynamical Symmetries in q-deformed Quantum Mechanics
| Authors | A. Lorek, J. Wess |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9502007 |
| URL | https://arxiv.org/abs/q-alg/9502007 |
| DOI | 10.1007/BF01553994 |
| Journal | Z.Phys. C67 (1995) 671-680 |
Abstract
The dynamical algebra of the q-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 well-defined algebra SU$_q$(1,1) with consistent conjugation properties and comultiplication. We obtain non lowest weight representations of this algebra.
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"abstract": "The dynamical algebra of the q-deformed harmonic oscillator is constructed.\nAs a result, we find the free deformed Hamiltonian as well as the Hamiltonian\nof the deformed oscillator as a complicated, momentum dependent interaction\nHamiltonian in terms of the usual canonical variables. Furthermore we construct\na well-defined algebra SU$_q$(1,1) with consistent conjugation properties and\ncomultiplication. We obtain non lowest weight representations of this algebra.",
"arxiv_id": "q-alg/9502007",
"authors": [
"A. Lorek",
"J. Wess"
],
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"doi": "10.1007/BF01553994",
"journal_ref": "Z.Phys. C67 (1995) 671-680",
"title": "Dynamical Symmetries in q-deformed Quantum Mechanics",
"url": "https://arxiv.org/abs/q-alg/9502007"
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