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.
Record created on 2008-04-24, modified on 2016-08-08