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

• URL: http://arxiv.org/abs/2006.12295v1
• Date: Mon, 22 Jun 2020 14:27:23 GMT
• Title: Momentum eigensolutions of Feinberg-Horodecki equation with time-dependent screened Kratzer-Hellmann potential
• Authors: Mahmoud Farout, and Sameer M. Ikhdair
• Abstract summary: We get an approximate value of the quantized momentum eigenvalues, $P_n$, together with the space-like coherent eigenvectors for the Feinberg-Horodecki equation. 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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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 Schrodinger 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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