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Scattering states of Dirac particle equation with position-dependent mass under the cusp potential

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Abstract.

We solved the one-dimensional position-dependent mass Dirac equation in the presence of the cusp potential and reported the solutions in terms of the Whittaker functions. We have derived the reflection and transmission coefficients by making use of the matching conditions on the wave functions. The effect of the position-dependent mass on the reflection and transmission coefficients of the system is duly investigated.

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Authors and Affiliations

  1. High Energy Physics and Astrophysics Laboratory, Department of Physics, FSSM, Cadi Ayyad University, P.O.B. 2390, Marrakesh, Morocco

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

  2. Physics Department, 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. H. Hassanabadi
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  4. M. Oulne
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  5. S. Zare
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Correspondence to S. Zare.

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Chabab, M., El Batoul, A., Hassanabadi, H. et al. Scattering states of Dirac particle equation with position-dependent mass under the cusp potential. Eur. Phys. J. Plus 131, 387 (2016). https://doi.org/10.1140/epjp/i2016-16387-8

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  • DOI: https://doi.org/10.1140/epjp/i2016-16387-8

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