SPIN-DENSITY FUNCTIONAL THEORY .4. THE EN ERGY FUNCTIONAL FOR SPIN MANIFOLDS - POTENTIAL-ENERGY - TOTAL FUNCTIONAL

We pursue our application of the the local-scale transformation (LST) to expressing the energy functional for the spin multiplicities of a m ultifermionic system. In a previous Note we have studied the dependenc e of the kinetic energy terms upon the choice of the model wave functi on (MWF). In the present Note we investigate the Coulomb potential ter ms (nucleus-electron attraction, electron-electron repulsion and inter electronic exchange) for space or spin degenerate or non-degenerate st ates. We analyze the components of these terms, especially the contrib ution of the latter to the exchange correlation function. This helps u nderstand how the scalar function of the LST determines the correlatio n effects in the total energy.