Makarov potential in relativistic equation via Laplace transformation approach

摘要

Exact solutions and corresponding normalized eigenfunctions of the Dirac equation are studied for the Makarov potential by using the Laplace transform approach under the pseudospin symmetry. By using the ideas of SUSY and shape invariance, we obtain the energy eigenvalues equation. The wave functions of the angle part are obtained by using the Nikiforov-Uvarov method, too. Finally, we also discuss the special cases of this potential and the valence energy states can be produced from our solution for the hole state by taking appropriate transformation of parameters.