Achim Richter<br>

Institute for Nuclear Physics, Darmstadt
        University of Technology<br>

<i>Playing Billiards with Microwaves - Quantum Manifestations of
Classical Chaos</i><p>

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Flat microwave resonators shaped in the form of billiards
are particularly well suited to study the quantum mechanical behavior
of classically chaotic systems because of the formal equivalence of the
respective wave equations, i.e. the Helmholtz and the Schroedinger
equation. With superconducting resonators of high quality factors it is
possible to measure the spectrum of eigenmodes and their eigenfunctions
completely and to determine their statistical properties. Two- and
three-dimensional billiards systems of different chaoticity are
discussed and it is shown that they display generic features which are
also evident in real physical systems like atoms, molecules and nuclei.

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