Semiclassical analysis and sensitivity to initial conditions
Mathematical Physics
2009-01-21 v1 math.MP
Quantum Physics
Abstract
We present several recent results concerning the transition between quantum and classical mechanics, in the situation where the underlying dynamical system has an hyperbolic behaviour. The special role of invariant manifolds will be emphasized, and the long time evolution will show how the quantum non-determinism and the classical chaotic sensitivity to initial conditions can be compared, and in a certain sense overlap.
Cite
@article{arxiv.0901.2992,
title = {Semiclassical analysis and sensitivity to initial conditions},
author = {Thierry Paul},
journal= {arXiv preprint arXiv:0901.2992},
year = {2009}
}