Theory of Driven Chaotic Systems, Random Matrix Theory and the Semiclassical limit
ICTP (Main Building Room 239)
(MPI fur Stromungsforschung, Goettingen)
Quantized chaotic systems are generically characterized by two energy
scales: the mean level spacing and the bandwidth.
This implies that with respect to driving such systems have an adiabatic,
a perturbative and a non-perturbative regimes. A \"strong\" quantal
non-perturbative response effect is found for systems that are described
by random matrix theory models.
Is there a similar effect for quantized \"chaotic\" systems ?
Theoretical arguments cannot exclude the existence of a \"weak\"
non-perturbative response effect, but detailed numerical investigations
results in an unexpected degree of semiclassical correspondence.
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