# POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field

## Description

Abstract A FORTRAN 77 program is presented which calculates with the relative machine precision potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field. The potential curves are eigenvalues corresponding to the angular oblate spheroidal functions that compose adiabatic basis which depends on the radial variable as a parameter. The matrix elements of radial coupling are integrals in angular variables of the following two ty... Title of program: POTHMF Catalogue Id: AEAA_v1_0 Nature of problem In the multi-channel adiabatic approach the Schrödinger equation for a hydrogen-like atom in a homogeneous magnetic field of strength γ (γ = B/B 0 , B 0 ≅ 2.35 × 10 5 T is a dimensionless parameter which determines the field strength B) is reduced by separating the radial coordinate, r, from the angular variables, (θ, φ), and using a basis of the angular oblate spheroidal functions [3] to a system of second-order ordinary differential equations which contain first-derivative coupling terms [4]. ... Versions of this program held in the CPC repository in Mendeley Data AEAA_v1_0; POTHMF; 10.1016/j.cpc.2007.09.005 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)