Precise Coulomb wave functions for a wide range of complex ℓ, η and z

Published: 01-02-2007| Version 1 | DOI: 10.17632/jpmfgn6gmr.1
N. Michel


Abstract A new algorithm to calculate Coulomb wave functions with all of its arguments complex is proposed. For that purpose, standard methods such as continued fractions and power/asymptotic series are combined with direct integrations of the Schrödinger equation in order to provide very stable calculations, even for large values of | η | or | ℑ (ℓ) |. Moreover, a simple analytic continuation for R (z) < 0 is introduced, so that this zone of the complex z-plane does not pose any problem. This code is... Title of program: cwfcomplex Catalogue Id: ADYO_v1_0 Nature of problem The calculation of Coulomb wave functions with all of their arguments complex is revisited. The new methods introduced allow to greatly augment the range of accessible ell, Η, and z. Versions of this program held in the CPC repository in Mendeley Data ADYO_v1_0; cwfcomplex; 10.1016/j.cpc.2006.10.004 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)