Coupled-cluster method in Fock space. IV. Calculation of expectation values and transition moments

A method of calculating expectation values and transition moments within the framework of the generalized coupled-cluster (CC) method is described. This approach allows for a direct calculation of first- and second-order static properties, as well as response functions for a many-fermion system. Diagrammatic and algebraic techniques of the preceding paper are used to obtain explicit algebraic formulas for what is called one-particle CC density and transition matrices. From these quantities the ground-state expectation value and transition moments for an arbitrary one-particle operator can be easily computed.