Short Time Dynamics of Scalar Products in Hilbert Space
Abstract
We use the semiclassical method proposed in 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.
0