• Quasi-exact and asymptotic iterative solutions of Dirac equation in the presence of some scalar potentials

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    • Keywords


      Dirac equation; quasi-exact solvability; supersymmetric quantum mechanics; asymptotic iteration method.

    • Abstract


      In this paper, the Dirac equation in the presence of some scalar potentials based on $sl$(2) Lie algebra is solved by quasi-exact solvability theory. The configuration of the classes III and VI potentials in the Turbiner’s classification is constructed. Then, the Bethe ansatz equations are calculated so that the energy eigenvalues and eigenfunctions are obtained. Also, we study the problem by using asymptotic iteration method. Finally, we compare the results obtained by these two methods.

    • Author Affiliations



      1. Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran
      2. Physics Department, Faculty of Sciences, Farhangian University, Tehran, Iran
    • Dates

  • Pramana – Journal of Physics | News

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