Dresden 2006 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.13: Poster

Donnerstag, 30. März 2006, 16:00–18:00, P1

Calculation of the density of states in pseudointegrable quantum billiards — •Stefanie Russ — Institut für Theoretische Physik III, Universität Giessen, D-35392 Giessen

We calculate numerically the lengths and areas of the periodic orbit families for several pseudointegrable quantum billiards, as e.g. barrier billiards, L-shaped billiards and billiards with several steps until large orbit lengths. We use the periodic orbits to determine the integrated density of states for large energy intervals. Comparing the results to the known eigenvalues of the systems we find that the fluctuations of the density of states are reproduced in good accuracy by the periodic-orbit calculations. Finally, possible applications to experiments and a comparison to integrable systems is discussed.