Accurate numerical solution of the radial Schrödinger and Dirac wave equations

Published: 1 September 1995| Version 1 | DOI: 10.17632/7tt8bs99yv.1
F. Salvat, J.M. Fernández-Varea, W. Williamson


Abstract A FORTRAN 77 subroutine package for the numerical solution of the Schrödinger and Dirac wave equations for central fields is presented. The considered fields are such that the function ν(r) ≡ rV(r) is finite for all r and tends to constant values for r → 0 and r → ∞. This includes finite-range fields as well as combinations of Coulomb and short-range fields. The potential energy function V(r) used in the calculation is the natural cubic spline that interpolates a table of values provided by t... Title of program: RADIAL Catalogue Id: ADBP_v1_0 Nature of problem This subroutine package provides numerical solutions of the Schrodinger and Dirac radial equations for central fields such that nu(r) equivalent r V(r) is finite for all r and tends to constant values when r -> 0 and r -> infinity. Normalized radial functions, eigenvalues for bound states and phase shifts for free states are calculated to a prescribed accuracy, which is specified by the input parameter epsilon. Versions of this program held in the CPC repository in Mendeley Data ADBP_v1_0; RADIAL; 10.1016/0010-4655(95)00039-I This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computational Method