2015
DOI: 10.17146/aij.2014.334
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Pseudospin Symmetry of the Position-Dependent Mass Dirac Equation for the Hulthén Potential and Yukawa Tensor Interaction

Abstract: This paper presents approximate analytical solutions of the Dirac equation for the Hulthén potential with position-dependent mass within the framework of pseudospin symmetry limit using the Nikiforov-Uvarov method. The results showed the relativistic energy spectrum and the corresponding un-normalized wave function expressed in terms of the Jacobi polynomials.

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“…Therefore, the formulation of potentials and several of their modifications is an ongoing practice and cannot be overemphasized. The use of the Coulomb-type potential was reported in the work of Ikot et al (2014a). Maksimenko and Kuchin (2011) examined a combination of the harmonic oscillator, a linear potential and a Coulomb potential using the Nikiforov -Uvarov method to obtain the energy eigenvalues and wave function for large and small distances between particles in the bound state.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, the formulation of potentials and several of their modifications is an ongoing practice and cannot be overemphasized. The use of the Coulomb-type potential was reported in the work of Ikot et al (2014a). Maksimenko and Kuchin (2011) examined a combination of the harmonic oscillator, a linear potential and a Coulomb potential using the Nikiforov -Uvarov method to obtain the energy eigenvalues and wave function for large and small distances between particles in the bound state.…”
Section: Introductionmentioning
confidence: 99%