Energy Levels for an Extended Thomas-Fermi-Dirac Potential

One-electron energy levels (occupied and excited) of K and Cs are calculated by solving the Schrödinger equation with a given potential, which is determined on the basis of the extended statistical theory discussed in our previous paper. In order to make a quantitative examination of the obtained wave functions, the dipole matrix elements are also computed. The present calculation clearly shows that the extended statistical theory with a modified Weizsäcker correction has advantages over the simple Thomas-Fermi-Dirac theory.