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Exact Solutions of Feinberg-Horodecki Equationfor Time-dependent Tietz-Wei Diatomic Molecular Potential

J. O. Ojonubah, C. A. Onate

Published Jan 1, 2015• 2 citations
OpenAlex

Abstract

In this study, we obtained exact solutions of the Feinberg-Horodecki equation under time-dependent Tietz-Wei di-atomic molecular potential. We have obtained the quantized momentum eigenvalues and the corresponding wave functions. It is shown that the solution can be obtained in the framework of super-symmetric quantum mechanics.

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We obtain an approximate value of the quantized momentum eigenvalues, Pn, together with the space-like coherent eigenvectors for the space-like counterpart of the Schrödinger equation, the Feinberg-Horodecki equation, with a screened Kratzer-Hellmann potential which is constructed by the temporal counterpart of the spatial form of this potential. In addition, we got exact eigenvalues of the momentum and the eigenstates by solving Feinberg-Horodecki equation with Kratzer potential. The present work is illustrated with three special cases of the screened Kratzer-Hellman potential: the time-dependent screened Kratzer potential, time-dependent Hellmann potential and, the time-dependent screened Coulomb potential.
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