We introduce an inherently real coupled cluster time-dependent expecta
tion value of a Hermitian operator. Based on the expansion of this exp
ectation value in orders of the generally time-dependent perturbation,
we subsequently identify the coupled cluster time-independent expecta
tion value, the linear response function, and the quadratic response f
unction. The response functions and their residues behave physically c
orrectly. Spectroscopic observables are identified as residues, wherea
s the identification of individual transition matrix elements is prohi
bited. Thus the unphysical behavior of previously published coupled cl
uster response functions may be viewed not as a consequence of the pro
jection, but rather that identifications are made on the basis of an u
nphysical expectation value or quasienergy. (C) 1997 American Institut
e of Physics.