Constraint Variational Calculations on Excited States

The difficulties of the SCF and MCSCF calculations on excited states have been reviewed. Three constraint variational methods are then developed which can perform the SCF and MCSCF calculations on excited states in the scheme of the generalized Brillouin theorem method. The proper constraints and the ways to incorporate the constraints into the variational calculations on excited states have been studied and the comparison with other approaches have been accessed.