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

TL;DR

This paper derives approximate and exact momentum eigenvalues and eigenstates for the Feinberg-Horodecki equation with a time-dependent screened Kratzer-Hellmann potential, exploring special cases like the Coulomb and Hellmann potentials.

Contribution

It provides new analytical solutions for the Feinberg-Horodecki equation with a time-dependent screened Kratzer-Hellmann potential, including special cases.

Findings

Derived approximate quantized momentum eigenvalues and eigenvectors.

Obtained exact eigenvalues and eigenstates for specific potentials.

Analyzed special cases like Coulomb and Hellmann potentials.

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.