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Scattering states of the Schrödinger equation with a position-dependent-mass and a non-central potential

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Abstract

In this paper, we study the time-independent Schr¨odinger equation within the formalism of a position-dependent effective mass. By using a generalized decomposition of a non-central effective potential, The deformed Schr¨odinger equation can be easily solved analytically through separation of variables. The energy eigenvalues and the normalization constant of the radial wave functions, as well as the scattering phase shifts are obtained.

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Authors and Affiliations

  1. High Energy Physics and Astrophysics Laboratory, Department of Physics, FSSM, Cadi Ayyad University, Marrakesh, 40000, Morocco

    M. Chabab, A. El Batoul & M. Oulne

  2. Department of Physics, Shahrood University of Technology, Shahrood, Iran

    H. Hassanabadi

  3. Department of Basic Sciences, Islamic Azad University, North Tehran Branch, Tehran, Iran

    S. Zare

Authors
  1. M. Chabab
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  2. A. El Batoul
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  3. M. Oulne
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  4. H. Hassanabadi
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  5. S. Zare
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Correspondence to M. Chabab.

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Chabab, M., El Batoul, A., Oulne, M. et al. Scattering states of the Schrödinger equation with a position-dependent-mass and a non-central potential. Journal of the Korean Physical Society 69, 1619–1624 (2016). https://doi.org/10.3938/jkps.69.1619

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  • DOI: https://doi.org/10.3938/jkps.69.1619

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