Affiliation:
1. Saudi Center for Theoretical Physics , P.O. Box 32741, Jeddah 21438, Saudi Arabia
Abstract
We use the tridiagonal representation approach to solve the radial Schrödinger equation for the continuum scattering states of the Coulomb problem in a complete basis set of discrete Bessel functions. Consequently, we obtain a new representation of the confluent hypergeometric function as an infinite sum of Bessel functions, which is numerically very stable and more rapidly convergent than another well-known formula.
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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