Approximate Solutions of the Fractional Schrodinger Equation for the Screened Kratzer Potential

2020/05/02 by U. S. Okorie, A. N. Ikot, Okorie, U. S. +5
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Spectroscopy and Quantum Chemical Studies #Advanced Chemical Physics Studies

paper · pdf · doi:10.48550/arxiv.2103.14064

Abstract

By employing the concept of conformable fractional Nikiforv-Uvarov (NU) method, we solved the fractional Schrodinger equation with the screened Kratzer potential (SKP). By applying the Greene-Aldrich approximation and a coordinate transformation schemes, the analytical expressions of the bound state energy spectra and eigenfunctions for SKP were obtained. Numerical results for the energies of SKP for lithium hydride and hydrogen chloride diatomic molecules were computed for different fractional parameters. Also, the graphical variation of the bound state energy eigenvalues of SKP for LiH with different potential parameters and quantum numbers were discussed, as regards the selected fractional parameters. Our results are new and have not been reported in any literature before.

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