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

Abstract

We obtain the quantized momentum eigenvalues Pn together with space-like coherent eigenstates for the space-like counterpart of the Schrödinger 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.

Momentum Eigensolutions of Feinberg-Horodecki Equation with Time-Dependent Screened Kratzer-Hellmann Potential

“…where 1 η is defined as in Equation ( 40). This result is exactly the same result as in a previous work [24], where 0 V was substituted 2 e e t D .…”

“…The Nikiforov-Uvarov (NU) [28] method was discussed in details in [24] [29] [30]. Here we will mention the main points to remind the reader with the main idea in NU method.…”

“…must be a polynomial with a negative first derivative to produce a solution, with a physical meaning, for Equation (3). For more details you can refer to [24].…”

“…In a new work, we have obtained the quantized momentum solution of the FH equation with combined Kratzer plus screened Coulomb potential using NU method. We constructed three special cases of this general form; the time-dependent modified Kratzer potential, the time-dependent screened Coulomb potential and the time-dependent Coulomb potential [24].…”

Fisher information of a vector potential for time‐dependent Feinberg–Horodecki equation

“…The results went further to interpret the formation of the specific growth patterns during the crystallization process and biological growth [3]. Other results of Fienberg–Horodecki equation recently obtained are Fienberg–Horodecki equation for time‐dependent mass distribution harmonic oscillator quantum system with a certain interaction applied to a mass distribution m ( t ) to provide a particular spectrum of stationary energies [7], exact bound state solutions of the Feinberg–Horodecki equation with rotating time‐dependent Deng–Fan oscillator potential by means of parametric NU method was obtained by Hamzavi et al [8], approximate solution of the time‐dependent Kratzer plus screened Coulomb potential in Feinberg–Horodecki equation [9], Feinberg–Horodecki equation with corresponding author's email: Pӧschl–Teller potential: Space‐like coherent states [10], exact solutions of Feinberg–Horodecki equation for time‐dependent Tietz–Wei diatomic molecular potential [11], exact solutions of the Feinberg–Horodecki equation for time‐dependent Wei–Hua oscillator and Manning–Rosen potentials by the Nikiforov–Uvarov method [12], Feinberg–Horodecki exact momentum states of improved deformed exponential‐type potential [13], Exact quantized momentum eigenvalues and eigenstates of a general potential model [14], momentum eigensolutions of Feinberg–Horodecki equation with time‐dependent screened Kratzer–Hellmann potential [15]. In all the studies/reports, it is noted that the grate Fienberg–Horodecki equation has not been studied in the domain of theoretic quantities which relates the quantized momentum to quantities such as Fisher information, Entopic systems, information energy and variance.…”