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

•
• Overview
•
• Research
•
•
• View All
•

### abstract

• 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 {\em uniform} semiclassical approximation captures the physics of {\em all} the different regimes, though it cannot take into account the effect of strong localization. Comment: 17 pages, 2 figures, textual improvements

### publication date

• January 1, 2003