The geometric approximation of physical properties

Electric dipole polarizabilities of the Ne isoelectronic sequence, the Be atom, the H-2 molecule, a pair of interacting He atoms, and the magnetic susceptibility of the H2 molecule are calculated by the geometric approximation. The numerical results are comparable to those obtained from the coupled Hartree-Fock method. It is also proved that the geometric approximation provides an approximation to the coupled Hatree-Fock second-order energy. Other remarks on the geometric approximation are also given.