Bulg. J. Phys. vol.45 no.4 (2018), pp. 323-333

Approximate Solution to the Schrödinger Equation with Manning-Rosen plus a Class of Yukawa Potential via WKBJ Approximation Method

B.I. Ita1, H. Louis1, O.U. Akakuru1, N.A. Nzeata-Ibe1, A.I. Ikeuba1, T.O. Magu1, P.I. Amos2, C.O. Edet3
1Physical/Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, School of Physical Sciences, University of Calabar, Calabar, Cross River State, Nigeria
2Department of Chemistry, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria
3Department of Physics, School of Physical Science, Federal University of Technology, Minna, Niger State, Nigeria
Abstract. Exact analytical investigations of the Schrödinger equation for pure and mixed potentials have been of significance interests in recent years. Here, we have solved and obtained the exact eigenenergy solutions for Manning–Rosen plus a class of Yukawa potential via the Wentzel–Kramers–Brillouin and Jeffery (WKBJ) approach. The energy eigenvalues and the corresponding wave functions of the system are also obtained analytically. The results investigated for the potential are in agreement with those obtained by the other theoretical methods.

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