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arXiv · 0803.1561

Short Time Dynamics of Scalar Products in Hilbert Space

Adélcio C. Oliveira
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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.

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Adélcio C. Oliveira. 2008-03-11. Short Time Dynamics of Scalar Products in Hilbert Space. https://arxiv.org/abs/0803.1561

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