Numerical solution of the Schroedinger equation for helium--like systems

The Schroedinger equation for S-type states of helium-like atoms was converted to a set of finite difference equations and these equations were solved by the successive overrelaxation iterative method. This technique was applied to the helium isoelectronic sequence: H-, He, Li+, Be2+, B3+, C4+, N5+, and O6+. Ground-state (11S) wavefunctions, energy expectation values, and expectation values of the operators r/sup n/, n = -2, -1, 1, 2 were obtained for the sequence listed. The first excited-state (23S) wavefunctions, energy expectation values, and expectation values of the operators r/sup n/, n = -2, -1, 1, 2 were obtained for He and Li+