Momentum eigensolutions of Feinberg-Horodecki equation with time-dependent screened Kratzer-Hellmann potential

We obtain an approximate value of the quantized momentum eigenvalues, \(P_n\), together with the space-like coherent eigenvectors for the space-like counterpart of the Schr odinger equation, the Feinberg-Horodecki equation, with a screened Kratzer-Hellmann potential which is constructed by the tempo...

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Bibliographic Details
Published inarXiv.org
Main Authors Farout, Mahmoud, Ikhdair, Sameer M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.06.2020
Subjects
Coulomb potential
Eigenvalues
Eigenvectors
Momentum
Time dependence
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Summary:We obtain an approximate value of the quantized momentum eigenvalues, \(P_n\), together with the space-like coherent eigenvectors for the space-like counterpart of the Schr odinger 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.
ISSN:2331-8422