Theory of the Unrestricted Hartree-Fock Equation and Its Solutions II: Classification and Characterization of UHF Solutions by Their Behavior for Spin Rotation and Time Reversal

Classification and characterization of the solutions of UHF equation are discussed on the basis of a group theoretical consideration on their behavior for spin rotation and time reversal. It is shown that UHF solutions can be classified into eight classes with distinct behavior for spin rotation and time reversal. The properties of density matrix to characterize the eight classes are derived. Form the properties, standard forms of orbital for the eight classes are derived.