Berlin 2008 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Quantum chaos II
DY 27.6: Vortrag
Donnerstag, 28. Februar 2008, 15:45–16:00, MA 004
Doorway based model for superscars in the barrier billiard — Sven Åberg1, Thomas Guhr2, •Maksim Miski-Oglu3, and Achim Richter3 — 1Matematisk Fysik, LTH, Lunds Universitet, Lund, Sweden — 2Fachbereich Physik, Universität Duisburg–Essen, Duisburg, Germany — 3Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
Superscars in a pseudointegrable barrier billiard serve as a paradigm for strength function phenomena in different quantum systems ranging from atoms to nuclei. Superscarring state are spatially localized in a channel of a family of classical periodic orbitis and have a simple structure. Their strength is spread over many other nonsuperscarring states in the billiard, i.e. it acts as a so called doorway state. We analyze the observed spreading for four different superscar families appplying random matrix theory. We design a doorway based model for superscarred wave functions. With this model we investigated the spatial correlations of the experimentally obtained billiard wave functions and their nodal domains statistics. The results for different bservables are consistent.