Approximate solution of the time-dependent Kratzer plus screened Coulomb potential in Feinberg-Horodecki equation

TL;DR

This paper derives approximate analytical solutions for the quantized momentum eigenvalues and eigenstates of the Feinberg-Horodecki equation with a combined Kratzer and screened Coulomb potential, focusing on time-dependent cases.

Contribution

It introduces a novel approach to solving the Feinberg-Horodecki equation with combined potentials in a time-dependent framework, providing explicit eigenvalues and eigenstates.

Findings

Derived quantized momentum eigenvalues for the combined potential.

Obtained space-like coherent eigenstates for the system.

Analyzed special cases: modified Kratzer and screened Coulomb potentials.

Abstract

We obtain the quantized momentum eigenvalues, $P_n$, together with space-like coherent eigenstates for the space-like counterpart of the Schrodinger equation, the Feinberg-Horodecki equation, with a combined Kratzer potential plus screened coulomb potential which is constructed by temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: the time-dependent modified Kratzer potential and the time-dependent screened Coulomb potential.