WKB Energy Expression for the Radial Schrödinger Equation with a Generalized Pseudoharmonic Potential
E. Omugbe, O. E. Osafile, I. B. Okon
Asian Journal of Physical and Chemical Sciences · pp. 13–20 · Published 11 May 2020
10.9734/ajopacs/2020/v8i230112Abstract
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.
Cited by 7
E. Omugbe, O. E. Osafile, E. A. Enaibe · Quantum Studies: Mathematics and Foundations · 2021
Ituen Okon, Clement Onate, Ekwevugbe Omugbe · Advances in High Energy Physics · 2022
M. Abu-Shady, E. M. Khokha · International Journal of Modern Physics A · 2021
Akaninyene D. Antia, Ituen B. Okon, Cecilia N. Isonguyo · Journal of the Egyptian Mathematical Society · 2022
Ekwevugbe Omugbe · Canadian Journal of Chemistry · 2020
Ekwevugbe Omugbe, Omosede E. Osafile, Michael C. Onyeaju · Advances in High Energy Physics · 2020
E. Omugbe, O.E. Osafile, M.C. Onyeaju · Canadian Journal of Physics · 2021
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