Journal of Statistical Physics, Vol. 78, Nos. 3/4, 1995, p. 1055-1066
The problem of characterizing stability and instability for general nonstationary
quantum systems is investigated. Some characterizations are reported and some
elementary properties of a topological characterization are established. Then, it
is proven, by considering a simple example, that there are nonperiodic driven
systems whose orbits are neither precompact nor leave on average any compact
set. Autocorrelation measures are computed and the possible roles of the
generalizes quasienergy operator and energy growth are briefly discussed.