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research article
Survival probability and local density of states for one-dimensional Hamiltonian systems
For chaotic systems there is a theory for the decay of the survival probability, and for the parametric dependence of the local density of states. This theory leads to the distinction between 'perturbative' and 'non-perturbative' regimes, and to the observation that semiclassical tools are useful in the latter case. We discuss what is 'left' from this theory in the case of one-dimensional systems. We demonstrate that the remarkably accurate uniform semiclassical approximation captures the physics of all the different regimes, though it cannot take into account the effect of strong localization.
Type
research article
Authors
Publication date
2003
Published in
Volume
36
Start page
9591
End page
9608
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 24, 2008
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