The deviations from a purely exponential behavior in a decay process are an
alyzed in relation to Van Hove's "lambda(2)t" limiting procedure. Our atten
tion is focused on the effects that arise when the coupling constant is sma
ll but nonvanishing. We first consider a simple model (two-level atom in in
teraction with the electromagnetic field), then gradually extend our analys
is to a more general framework. We estimate all deviations from exponential
behavior at leading orders in the coupling constant. (C) 1999 Elsevier Sci
ence B.V. All rights reserved.