Exact solution to the Coulomb wave using the linearized phase-amplitude method

The author shows that the amplitude equation from the phase-amplitude method of calculating continuum wave functions can be linearized into a 3rd-order differential equation. Using this linearized equation, in the case of the Coulomb potential, the author also shows that the amplitude function has a...

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Bibliographic Details
Main Author: Shuji Kiyokawa
Format: Article
Language:English
Published: AIP Publishing LLC 2015-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4929399