We study weakly coupled antiferromagnetic spin chains in their ordered
phase by combining an exact solution of the single-chain problem with
a random-phase-approximation analysis of the interchain interaction.
A single chain is described by a quantum Sine-Gordon model and dynamic
al staggered susceptibilities are determined by employing the form-fac
tor approach to quantum correlation functions. We consider both antife
rromagnetic order encountered in quasi-one-dimensional materials such
as KCuF3 and spin-Peierls order as found in CuGeO3. [S0163-1829(97)009
41-7].