Abstract
We obtain the quantized momentum eigenvalues, Pn, and the momentum eigenstates for the space-like Schrodinger equation, the Feinberg-Horodecki equation, with the improved deformed exponential-type potential which is constructed by temporal counterpart of the spatial form of these potentials. We also plot the variations of the improved deformed exponential-type potential with its momentum eigenvalues for few quantized states against the screening parameter.
Highlights
In studying any physical problem in quantum mechanics we seek to find the solution of the resulting second-order differential equation
We studied the solutions of FH equation for time-dependent mass (TDM) harmonic oscillator quantum system
The Nikiforov-Uvarov (NU) method will be used to find the exact solutions of FH equation for the improved deformed exponential-type (IDEP) which results in momentum eigenvalues and their eigenstates
Summary
In studying any physical problem in quantum mechanics we seek to find the solution of the resulting second-order differential equation. Quantized Momentum States, Feinberg-Horodecki Equation, The Time-Dependent Improved Deformed Exponential-Type Potential Solving this differential equation by means of any method results in the eigenvalues and eigenfunctions of that Schrödinger quantum system.
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