Closed-orbit theory for spatial density oscillations
Matthias Brack, Jer\^ome Roccia
TL;DR
This paper reviews a semiclassical theory explaining quantum oscillations in spatial densities of finite fermion systems and discusses extending it to include correlations like temperature and pairing effects.
Contribution
It introduces a semiclassical framework for quantum oscillations in finite fermion systems and extends it to incorporate correlations such as temperature and pairing.
Findings
Semiclassical theory successfully describes spatial density oscillations.
Inclusion of correlations improves the model's accuracy.
Examples demonstrate the theory's applicability.
Abstract
We briefly review a recently developed semiclassical theory for quantum oscillations in the spatial (particle and kinetic energy) densities of finite fermion systems and present some examples of its results. We then discuss the inclusion of correlations (finite temperatures, pairing correlations) in the semiclassical theory.
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