Bound State Solution of Dirac Equation for Hulthen Plus Trigonometric Rosen Morse Non-central Potential Using Romanovski Polynomial

摘要

The bound state solutions of Dirac equation for Hulthen and trigonometric Rosen Morse non-central potential are obtained using finite Romanovski polynomials. The approximate relativistic energy spectrum and the radial wave functions which are given in terms of Romanovski polynomials are obtained from solution of radial Dirac equation. The angular wave functions and the orbital quantum number are found from angular Dirac equation solution. In non -relativistic limit, the relativistic energy spectrum reduces into non-relativistic energy. Keywords:Dirac equation, bound state solution, Hulthen potential, trigonometric Rosen-Morse, non-central potential, Romanovski polynomials.