title: Quantum chaos for point scatterers on flat tori.
abstract: This survey article deals with a delta potential--also known as a point scatterer--on flat two- and three-dimensional 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.
authors.affiliation: Institut de Physique Théorique, , CEA Saclay, 91191 Gif-sur-Yvette Cedex, France.
authors.forename: Henrik
authors.initials: H
authors.lastname: Ueberschär
keywords: point scatterers; quantum chaos; quantum ergodicity; spectral statistics; spectral theory; tori