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SWKB and proper quantization conditions for translationally shape-invariant potentials

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Abstract.

Using a recently proposed classification for the primary translationally shape-invariant potentials, we show that the exact quantization rule formulated by Ma and Xu is equivalent to the supersymmetric JWKB quantization condition. The energy levels for the two considered categories of shape-invariant potentials are also derived.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique, Faculté des Sciences Exactes, Université de Bejaia, 06000, Bejaia, Algeria

    Kamal Mahdi & Y. Kasri

  2. Equipe BioPhysStat, Laboratoire LCP-A2MC, ICPMB, IF CNRS No.2843, Université de Lorraine, 1 bvd D.F. Arago, 57078, Metz, France

    Y. Kasri, Y. Grandati & A. Bérard

Authors
  1. Kamal Mahdi
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  2. Y. Kasri
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  3. Y. Grandati
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  4. A. Bérard
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Correspondence to Y. Kasri.

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Mahdi, K., Kasri, Y., Grandati, Y. et al. SWKB and proper quantization conditions for translationally shape-invariant potentials. Eur. Phys. J. Plus 131, 259 (2016). https://doi.org/10.1140/epjp/i2016-16259-3

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  • DOI: https://doi.org/10.1140/epjp/i2016-16259-3

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