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Approximate Solutions of the N-Dimensional Schrödinger Equation with Modified Screened Kratzer Plus Inversely Quadratic Yukawa Potential and Thermodynamic Properties of Selected Diatomic Molecules

Etido Patrick Inyang, I. B. Okon, Eddy Sunday William, E. Omugbe, C. A. Onate, Akaninyene Daniel Antia, Joseph Effiom-Edem Ntibi

Published Jan 1, 2022• 0 citations
Publisher
DOI
10.2139/ssrn.4165902

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The Schrödinger equation was solved for the Hulthén plus screened Kratzer Potential (HSKP) via the Nikiforov–Uvarov – functional analysis (NUFA) method. The bound-state energy and wave function for the HSKP were obtained in a closed form by applying the Greene–Aldrich approximation scheme to the inverse-square term. Using the resulting energy equation, we computed the energy spectra for 12 diatomic molecules (CuLi, TiH, VH, TiC, HCl, LiH, H2, ScH, CO, I2, N2, and NO) for various quantum states. To show the accuracy of our procedure, four special cases of the collective potential were obtained, and the results are in excellent agreement with the existing literature.

Canadian Journal of Physics•Jun 16, 2022•37 citations
The Schrödinger equation was solved for the Hulthén plus screened Kratzer Potential (HSKP) via the Nikiforov–Uvarov – functional analysis (NUFA) method. The bound-state energy and wave function for the HSKP were obtained in a closed form by applying the Greene–Aldrich approximation scheme to the inverse-square term. Using the resulting energy equation, we computed the energy spectra for 12 diatomic molecules (CuLi, TiH, VH, TiC, HCl, LiH, H2, ScH, CO, I2, N2, and NO) for various quantum states. To show the accuracy of our procedure, four special cases of the collective potential were obtained, and the results are in excellent agreement with the existing literature.