Analytical solutions to the Schrödinger Equation with a Combined Potential using the Series Expansion Method to Study Selected Diatomic Molecules
Keywords:
Schrödinger equation;, series expansion method, Hulthén Potential, screened Kratzer Potential, diatomic moleculesAbstract
Communication in Physical Sciences, 2022, 8(2):258-276
Etido P. Inyang, Joseph E.Ntibi, Olumuyiwa O.Akintola , Efiong A. Ibanga , Funmilayo Ayedun, and Eddy S.William
Received: 26 January 2022/Accepted 19 May 2022
In this work, the Schrödinger equation with the Hulthén plus screened Kratzer Potential is solved via the series expansion method. The energy equation was used to compute the bound state energy for twelve diatomic molecules such as; CuLi, TiH, VH, TiC, HCl, LiH, H2, ScH, CO, I2 ,N2, and NO for various quantum states. Three special cases were obtained from the combined potential when some potential parameters were set to zero, resulting in Hulthén, screened Kratzer, and Kratzer potentials. To test the accuracy of our results, we computed the bound state energy eigenvalues for HCl and LiH diatomic molecules for a special case of the Kratzer and screened Kratzer potential and the results obtained were in excellent agreement with the report of other researchers in the literature.
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