Solutions of the scattering problem in a complete set of Bessel functions with a discrete index
Quantum Physics
2023-11-16 v1
Abstract
We use the tridiagonal representation approach to solve the radial Schr\"odinger equation for the continuum scattering states of the Kratzer potential. We do the same for a radial power-law potential with inverse-square and inverse-cube singularities. These solutions are written as infinite convergent series of Bessel functions with a discrete index. As physical application of the latter solution, we treat electron scattering off a neutral molecule with electric dipole and electric quadrupole moments.
Keywords
Cite
@article{arxiv.2209.03738,
title = {Solutions of the scattering problem in a complete set of Bessel functions with a discrete index},
author = {A. D. Alhaidari and M. E. H. Ismail},
journal= {arXiv preprint arXiv:2209.03738},
year = {2023}
}