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An iterative method to calculate the phases of Coulomb functions
Published online by Cambridge University Press: 24 October 2008
Abstract
The differential equation
defining the function of the amplitude sL is integrated by an iterative procedure. An expression for the phase
is obtained in terms of integrals of ωL and its derivatives. The method is applied to the numerical calculation of Coulomb functions and the accuracy of the results is discussed. Recurrence relations are used to obtain øL, L ≽ 1.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 1 , January 1971 , pp. 167 - 173
- Copyright
- Copyright © Cambridge Philosophical Society 1971
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