Equation of Motion for Single Electrons

An improvement of Slater s screening rules would be to make the screening potential consistent with the actual charge density of the occupied orbitals. The English physicist Douglas R. Hartree advanced and developed this idea. 

As we saw in the previous chapter, one-electron representation of the motion of electrons can never be exact. The best many-electron wave function is obtained if we put the spin orbitals into a Slater determinant. To obtain a good many-electron wave function, it is necessary to include other configurations, as demanded by the variation principle. We will first review the most popular one-electron methods, in particular the Hartree-Fock method. This method was used primarily for atoms for more than 30 years, until 1950. 

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