Quantum Dynamics and Random Matrix Theory
Chaotic Dynamics
2009-11-07 v1
Abstract
We compute the survival probability of an initial state, with an energy in a certain window, by means of random matrix theory. We determine its probability distribution and show that is is universal, i.e. caracterised only by the symmetry class of the hamiltonian and independent of the initial state.
Cite
@article{arxiv.nlin/0201053,
title = {Quantum Dynamics and Random Matrix Theory},
author = {Herve Kunz},
journal= {arXiv preprint arXiv:nlin/0201053},
year = {2009}
}
Comments
6 pages