The master equation for a damped spin well known from the theory of su
perradiance, is written as a finite-difference equation and solved by
a WKB-like method. The propagator thus obtained looks like the van Vle
ck propagator of a certain classical Hamiltonian system with one degre
e of freedom. A new interpretation is provided of the temporal broaden
ing of initially sharp probability distributions as the analogue of th
e spreading of the quantum mechanical wave packet.