Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 25: Quantum chaos II

DY 25.4: Talk

Thursday, March 29, 2007, 10:30–10:45, H2

Survival probability of an open circular microwave resonator — Stefan Bittner, Barbara Dietz-Pilatus, Thomas Friedrich, Maksim Miski-Oglu, •Pedro Oria Iriarte, Achim Richter, and Florian Schäfer — Institut für Kernphysik, Schloßgartenstraße 9, 64289 Darmstadt

An experimental study of an open circular quantum billiard simulated by a flat microwave cavity is presented. A piece of absorber material placed on the boundary simulates a hole and opens the system. The survival probability is determined and compared to its classical counterpart obtained by a numerical simulation. It is connected to the famous Riemann hypothesis in the limit of a small opening. This connection might be accessible in further experiments.