Exact Quantized Momentum Eigenvalues and Eigenstates of a General Potential Model

Abstract

We obtain the quantized momentum eigenvalues, P n , and the momentum eigenstates for the space-like Schrodinger equation, the Feinberg-Horodecki equation, with the general molecular potential which is constructed by the temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: time-dependent Wie-Hua Oscillator and time-dependent Manning-Rosen potential.We also plot the variations of the general molecular potential with its two special cases and their momentum states for few quantized states against the screening parameter.

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.…”

Energy and momentum eigenspectrum of the Hulthén-screened cosine Kratzer potential using proper quantization rule and SUSYQM method

“…Celia et al [52] has studied time-dependent mass and frequency and a perturbative potential to construct coherent states for two systems. Recently in 2020, Farout et al [53] obtained the quantized momentum solution of the FH equation with general potential model using NU method. In July 2020, Farout and Ikhdair, solved the FH equation with the time-dependent screened Kratzer-Hellmann potential model [54] and obtained the approximated eigensolutions of momentum states.…”

Eigensolution to Morse potential for Scandium and Nitrogen monoiodides

“…Onate et al [6], obtained energy eigenvalues of six molecules for hyperbolic-sinus potential model. Recently, Farout et al [7], obtained exact momentum states of some molecules for improved deformed exponential-type potential. Despite all the reports given above, it has not been easy to deduce a potential energy for various molecules, thus, a challenging issue subsist in the study.…”