Short Time Dynamics of Scalar Products in Hilbert Space
Quantum Physics
2008-03-12 v1
Abstract
We use the semiclassical method proposed in \cite{Adelcio2003} to study scalar products such as the overlap, Husimi functions and fidelity decay. Scars of classical periodic orbits arise naturally in this pertubative expansion. We also derive analytically a well known numerical result that fidelity has a quadratic decay for short times. We study the overlap in the chaotic regime and integrable for some simple systems.
Cite
@article{arxiv.0803.1561,
title = {Short Time Dynamics of Scalar Products in Hilbert Space},
author = {Adélcio C. Oliveira},
journal= {arXiv preprint arXiv:0803.1561},
year = {2008}
}
Comments
24 pages, 12 figures