Quantum Chaos for point scatterers on flat tori
Mathematical Physics
2014-03-24 v2 Analysis of PDEs
math.MP
Spectral Theory
Abstract
This survey article deals with a delta potential - also known as a point scatterer - on flat 2D and 3D tori. We introduce the main conjectures regarding the spectral and wave function statistics of this model in the so- called weak and strong coupling regimes. We report on recent progress as well as a number of open problems in this field.
Cite
@article{arxiv.1212.1086,
title = {Quantum Chaos for point scatterers on flat tori},
author = {Henrik Ueberschaer},
journal= {arXiv preprint arXiv:1212.1086},
year = {2014}
}
Comments
13 pages, 1 figure, added some references and further explanations, Phil. Trans. R. Soc. A to appear