SPIN-DENSITY FUNCTIONAL THEORY .3. SPIN D ISTRIBUTION AND CORRELATIONDENSITIES OF SPIN MULTIPLICITIES

We show that, in the rigorous approach taking account of spin of the d ensity functional theory, the spin correlation functions and matrices are entirely determined by the charge distribution density rho (r). We form the multiplicities of spin distribution and correlation density functionals, from which the theory is extended to the degenerate state s of a spinless Hamiltonian. We show that the spin correlations and th e densities of spin pairs, spin-orbit interaction and spin-spin intera ction are determined by the function rho (r).