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The EUP Dirac Oscillator: A Path Integral Approach

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Abstract

The Green function for Dirac oscillator in \((1+1)\) dimension in the context of the extended uncertainty principle (EUP) is calculated exactly via the path integral formalism. The spectrum energy is determined, the corresponding wave functions suitably normalized are derived and they are expressed by the Gegenbauer’s polynomials. Special cases are considered.

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Authors and Affiliations

  1. PRIMALAB, Département de Physique, Faculté des Sciences de la matière, Université de Batna 1, 05000, Batna, Algeria

    A. Merad

  2. LPEA, Département de Physique, Faculté des Sciences de la Matière, Université de Batna 1, Batna, Algeria

    M. Aouachria

  3. Laboratoire LRPPS, Faculté des Sciences et de la Technologie et des Sciences de la Matière, Université Kasdi Merbah Ouargla, 30000, Ouargla, Algeria

    H. Benzair

Authors
  1. A. Merad
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  2. M. Aouachria
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  3. H. Benzair
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Correspondence to A. Merad.

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Merad, A., Aouachria, M. & Benzair, H. The EUP Dirac Oscillator: A Path Integral Approach. Few-Body Syst 61, 36 (2020). https://doi.org/10.1007/s00601-020-01570-4

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