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research article

Survival probability and local density of states for one-dimensional Hamiltonian systems

Vanicek, Jiri  
•
Cohen, Doron
2003
Journal of Physics A: Mathematical and General

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.

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Type
research article
DOI
10.1088/0305-4470/36/36/310
Author(s)
Vanicek, Jiri  
Cohen, Doron
Date Issued

2003

Published in
Journal of Physics A: Mathematical and General
Volume

36

Start page

9591

End page

9608

URL

URL

http://www.iop.org/EJ/abstract/0305-4470/36/36/310
Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
LCPT  
Available on Infoscience
April 24, 2008
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/23460
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