S. Fraga et Es. Fraga, THE SCHRODINGER-RICCATI EQUATION - AN APPLICATION TO THE HYDROGEN ANDHELIUM-ATOMS, Polish Journal of Chemistry, 72(7), 1998, pp. 1313-1322
Numerical results for the ground states of the hydrogen and helium ato
ms confirm the validity of the algebraic Schrodinger-Riccati equation.
A quartic equation may be appropriate for points in the electron conf
iguration space corresponding to electron positions close to the nucle
us but a higher degree will be needed for the outer regions. The Schro
dinger-Riccati equation is appropriate for implementation in parallel-
computing facilities and its practical applicability will be enhanced
by the availability of high-speed computers.