WKB Energy Expression for the Radial Schrödinger Equation with a Generalized Pseudoharmonic Potential

Main Article Content

E. Omugbe
O. E. Osafile
I. B. Okon

Abstract

In this paper, we applied the semi-classical quantization approximation method to solve the radial Schrödinger equation with a generalized Pseudoharmonic potential. The four turning points problem within the framework of the Wentzel-Kramers-Brillouin (WKB) method was transformed into two turning points and subsequently, the energy spectrum was obtained. Some special cases of the generalized Pseudoharmonic potential are presented. The WKB approximation approach reproduces the exact energy expression obtained with several analytical methods in the literature.  The values of the energy levels for some selected diatomic molecules (N2, CO, NO, CH) obtained numerically are in excellent agreement with those from previous works in the literature.

Keywords:
Schrödinger equation, WKB approximation method, Pseudoharmonic potential

Article Details

How to Cite
Omugbe, E., Osafile, O. E., & Okon, I. B. (2020). WKB Energy Expression for the Radial Schrödinger Equation with a Generalized Pseudoharmonic Potential. Asian Journal of Physical and Chemical Sciences, 8(2), 13-20. https://doi.org/10.9734/ajopacs/2020/v8i230112
Section
Original Research Article

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