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Analytical solution of the Dirac equation for the hyperbolic potential by the extended Nikiforov-Uvarov method

   Karayer, H.

The eigenstate solutions of the Dirac equation for the hyperbolic-type potential field in the case of pseudospin symmetry have been achieved by the extended Nikiforov-Uvarov (NU) method analytically. It is presented that the Dirac equation is reduced to the confluent Heun equation. Then eigenfunction solution is obtained in terms of confluent Heun polynomials.

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Karayer, H. (2019). Analytical solution of the Dirac equation for the hyperbolic potential by the extended Nikiforov-Uvarov method. EUROPEAN PHYSICAL JOURNAL PLUS, 134(9). doi:10.1140/epjp/i2019-12828-2

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