Coulomb functions in entire (ɳ, ϱ) - plane

Gamov states in the generator coordinate method

“…The method outlined above becomes invalid at low energies where the expansion (3.4) of the Coulomb functions breaks down [9].…”

Radial electric multipole matrix elements for inelastic collisions in atomic and nuclear physics

“…1) The Coulomb wave functions are calculated by Ricatti expansion or by a continued fraction, both at / = 0, after which the actual .F(~,p), G1(~,p) and derivatives are obtained by recursion [4,5]. These routines are rather time consuming when applied to evaluate the integrals I~by numerical quadrature.…”

“…Belling uses first order WKB functions to approximate the integrand, but we will start from the exact Coulomb wave functions, which can be calculated very accurately by methods presented in ref. [4] or [5]. Instead of (13) we put…”

“…The subroutine COULOM can be used independently and is a modified version of the routines from refs. [4,5]. The calling sequence is CALL COULOM(DRHO, DETA, L, DF, DFP, DG, DGP, CONY) and it generates the Coulomb wave functions.…”