FEM Calculations of Coulomb Two Center Problem

An algorithm for solving of the boundary value problem for the discrete spectrum of a two-center Coulomb system is presented. The energy and separation constant eigenvalues and the corresponding eigenfunctions are calculated by the secant method on a suitable grid of the parameter, the distance between two Coulomb charges. The eigensolutions at each step of the secant method are calculated using KANTBP 5M program, which implements the finite element method in Maple.