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Fibonacci oscillators

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Zeitschrift für Physik C Particles and Fields

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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Author notes

  1. T. Turgut

    Present address: Department of Physics, University of Rochester, Rochester, NY, USA

  2. M. Mungan

    Present address: Department of Physics, University of Chicago, Chicago, Ill., USA

Authors and Affiliations

  1. Department of Mathematics, Istanbul Technical University, Maslak, Istanbul, Turkey

    M. Arik

  2. Department of Physics, Bogaziçi University, Bebek, Istanbul, Turkey

    M. Arik

  3. Department of Physics, University of Texas at Austin, Austin, Texas, USA

    E. Demircan & T. Turgut

  4. Department of Physics, Bogaziçi University, Bebek, Istanbul, Turkey

    L. Ekinci & M. Mungan

Authors
  1. M. Arik
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  2. E. Demircan
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  3. T. Turgut
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  4. L. Ekinci
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  5. M. Mungan
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Arik, M., Demircan, E., Turgut, T. et al. Fibonacci oscillators. Z. Phys. C - Particles and Fields 55, 89–95 (1992). https://doi.org/10.1007/BF01558292

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  • DOI: https://doi.org/10.1007/BF01558292

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