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arXiv · 2209.03738

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

A. D. Alhaidari·M. E. H. Ismail
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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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A. D. Alhaidari, M. E. H. Ismail. 2022-09-07. Solutions of the scattering problem in a complete set of Bessel functions with a discrete index. https://doi.org/10.1063/5.0124565

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