Analytic Wave Function. Ⅲ. The Spin-orbit, Spin-Other Orbit and Spin-Spin Interactions

摘要

In two earlier papers we have described our methods and programs for calculations of certain classes of atomic wave functions. In this paper we consider the application of the wave functions so obtained to the calculation of the spin-orbit, spin-other orbit, and spin-spin interactions. These calculations remove the horizontal degeneracy from the Slater diagram. We assume the Coulomb for the spin-orbit calculation and show the relative contributions of the nucleus and other type electrons to the result. In this and the succeeding interactions oxygen is used as an example. Although the order of the splitting is as observed, the observed asymmetry is not obtained, for the sum of all three effects is a symmetric splitting of the three levels. An explanation of this lack of asymmetry is offered which appeals to our neglect of the exchange portion of the potential in the spin-orbit calculation.