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A q-deformed particle algebra with a unique d-dimensional representation

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Central European Journal of Physics

Abstract

We present an algebra generated by a single pair of creation and annihilation operators b and b*. We prove that the algebra has a unique d-dimensional representation. Physically this algebra corresponds to a system where there are at most d − 1 particles in a state with otherwise same quantum numbers.

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Authors and Affiliations

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

    Şeyda C. Tekin

  2. Department of Physics, Bogazici University, Bebek, Istanbul, Turkiye

    Metin Arik

Authors
  1. Şeyda C. Tekin
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  2. Metin Arik
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Correspondence to Şeyda C. Tekin.

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Tekin, Ş.C., Arik, M. A q-deformed particle algebra with a unique d-dimensional representation. centr.eur.j.phys. 9, 996–1001 (2011). https://doi.org/10.2478/s11534-011-0002-y

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  • DOI: https://doi.org/10.2478/s11534-011-0002-y

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