FGH, a code for the calculation of Coulomb radial wave functions from series expansions. (English) Zbl 1007.81021
Summary: The code FGH is an up-dated version of a code COULFG [see the author, ibid. 25, 87 (1982)], used for the calculation of the Coulomb functions $f$ and $g$, analytic in the energy, for attractive potentials. The new code works for attractive and repulsive potentials and also gives the functions $h$ which have simple asymptotic forms. There is an option to use either the variables $(\varepsilon,r)$ customary in atomic physics, or (for positive energies) $(\eta,\rho)$ customary in nuclear physics. When $(\eta,\rho)$ are used, the code also gives the functions $F_\ell(\eta,\rho)$ and $G_\ell(\eta,\rho)$.
Use of series solutions can lead to loss of accuracy due to cancellation effects. FGH provides an indication of the number of significant figures lost due to cancellations.
|81Q05||Closed and approximate solutions to quantum-mechanical equations|
|81-08||Computational methods (quantum theory)|
Seaton, M. J.: Comput. phys. Comm.. 146, 225 (2002)
Seaton, M. J.: Comput. phys. Comm.. 25, 87 (1982)
Seaton, M. J.: Comput. phys. Comm.. 146, 254 (2002)