TITLE:
Exact Quantized Momentum Eigenvalues and Eigenstates of a General Potential Model
AUTHORS:
Mahmoud Farout, Ahmed Bassalat, Sameer M. Ikhdair
KEYWORDS:
Bound States, Feinberg-Horodecki Equation, The Time-Dependent General Potential, Time-Dependent Wei-Hua Oscillator, Time-Dependent, Manning-Rosen Potential
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.7,
July
31,
2020
ABSTRACT: We obtain the quantized momentum eigenvalues, Pn, and the momentum eigenstates for the
space-like Schr?dinger equation, the Feinberg-Horodecki equation, with the
general 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 Wei-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.