Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.2: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

Effects of point-like perturbations in billiards — •Timur Tudorovskiy, Ruven Höhmann, Ulrich Kuhl, and Hans-Jürgen Stöckmann — Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany

We study two-dimensional cavities with antennas and scatterers, where they are treated as point-like perturbations. Using this approach we construct a scattering theory for cavities with one or more open transversal channels and several antennas. In the framework of this approach we were able to reproduce observable “wavefunctions” of the cavity with exactly degenerated state as well as with nearly degenerated states in the presence of one and two antennas [1]. The comparison with experimental data from microwave cavities shows a good agreement. The same idea allowed us to consider cavities with loops, where some antennas are connected. With time dependent point-like perturbations Floquet systems can be realized. We apply this theory for the periodically driven cavities.
[1] U. Kuhl, E. Persson, M. Barth, and H.-J. Stöckmann. Eur. Phys. J. B 17, 253 (2000).