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Pseudospin Symmetry in Position-Dependent Mass Dirac-Coulomb Problem by Using Laplace Transform and Convolution Integral

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Abstract

The exact pseudospin symmetry solutions of Dirac equation with position-dependent mass (PDM) Coulomb potential in the presence of Colulomb-like tensor potential are obtained by using Laplace transform (LT) approach. The energy eigenvalue equation of the Dirac particles is found and some numerical results are given. By using Laplace convolution integral, the corresponding radial wave functions are presented in terms of confluent hypergeometric functions.

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  1. Institute of Natural and Applied Sciences, Erciyes University, Kayseri, 38039, Turkiye

    Sami Ortakaya

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  1. Sami Ortakaya
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Ortakaya, S. Pseudospin Symmetry in Position-Dependent Mass Dirac-Coulomb Problem by Using Laplace Transform and Convolution Integral. Few-Body Syst 54, 2073–2080 (2013). https://doi.org/10.1007/s00601-013-0709-y

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  • DOI: https://doi.org/10.1007/s00601-013-0709-y

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