Three-body systems with Coulomb interaction. Bound and quasi-bound S -states

Published: 01-11-2013| Version 1 | DOI: 10.17632/xkj9rpnz32.1
Evgeny Z. Liverts,
Nir Barnea


Abstract A simple Mathematica (versions 7–9) code for computing S -state energies and wave functions of three-particles systems is presented. The relevant systems include two-electron atoms, molecular electronic ions and mesomolecular exotic species. In addition to the bound S -states the code enables one to compute the positions and widths of the lowest resonance, quasi-bound, states. The elegant technique derived from the classical papers of Pekeris is applied. The basis functions are composed o... Title of program: ThreeBSCbSSR Catalogue Id: AEPU_v1_0 Nature of problem The Schrödinger equation for three-body system has not been solved analytically. Approximate methods must be applied in order to obtain the wave functions or other physical attributes from quantum mechanical calculations. Versions of this program held in the CPC repository in Mendeley Data AEPU_v1_0; ThreeBSCbSSR; 10.1016/j.cpc.2013.06.013 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)