Solutions of the scattering problem in a complete set of Bessel functions with a discrete index

• URL: http://arxiv.org/abs/2209.03738v1
• Date: Wed, 7 Sep 2022 01:22:48 GMT
• Title: Solutions of the scattering problem in a complete set of Bessel functions with a discrete index
• Authors: A. D. Alhaidari and M. E. H. Ismail
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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