Fibonacci oscillators |
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Authors: | M Arik E Demircan T Turgut L Ekinci M Mungan |
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Institution: | 1. Department of Mathematics, Istanbul Technical University, Maslak, Istanbul, Turkey 2. Department of Physics, Bogazi?i University, Bebek, Istanbul, Turkey 3. Department of Physics, University of Texas at Austin, Austin, Texas, USA 5. Department of Physics, Bogazi?i University, Bebek, Istanbul, Turkey
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Abstract: | We discuss the properties of oscillators whose spectrum is given by a generalized Fibonacci sequence. The properties include: invariance under the unitary quantum group, generalized angular momentum, coherent states and difference calculus, relativistic interpretation. |
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