English

Exact Quantized Momentum Eigenvalues and Eigenstates of a General Potential Model

Quantum Physics 2020-07-29 v1

Abstract

We obtain the quantized momentum eigenvalues, PnP_n , and the momentum eigenstates for the space-like Schr\"odinger 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.

Keywords

Cite

@article{arxiv.2007.13836,
  title  = {Exact Quantized Momentum Eigenvalues and Eigenstates of a General Potential Model},
  author = {Mahmoud Farout and Ahmed Bassalat and Sameer M. Ikhdair},
  journal= {arXiv preprint arXiv:2007.13836},
  year   = {2020}
}
R2 v1 2026-06-23T17:26:46.517Z