PERSYS—A program for the solution near the origin of coupled channel Schrödinger equation with singular potential

Published: 01-02-2002| Version 1 | DOI: 10.17632/kp59tgkd6h.1
M. Rizea


Abstract The code PERSYS produces the regular solution of a system of coupled Schrödinger equations near the origin, where the potential exhibits a singularity, due to the centrifugal, spin-orbit and Coulomb components. The solution is calculated by means of a highly accurate method, which consists of a perturbative technique in which the centrifugal term is taken as the reference potential while the rest of terms are seen as a perturbation. Title of program: PERSYS Catalogue Id: ADPI_v1_0 Nature of problem Problems which involve the integration of the coupled channel Schrodinger equation and when the singularities of the potential near the origin causes difficulties. Such problems appear, for example, in the determination of Gamow states in a deformed potential which are solutions regular at the origin and, asymptotically, of outgoing wave form, Ol = Gl + iFl, where Gl and Fl are the irregular and regular Coulomb wave functions. Versions of this program held in the CPC repository in Mendeley Data ADPI_v1_0; PERSYS; 10.1016/S0010-4655(01)00429-5 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)