Abstract
Trace formulas provide a direct relation between the eigenvalues of a given quantum system and the properties of the periodic orbits of its classical counterpart. About 25 years ago, Balian and Duplantier derived a trace formula for the resonance density of three-dimensional chaotic microwave cavities. We will present the first experimental test of this semiclassical approximation performed with a microwave cavity of the shape of a three-dimensional Bunimovich billiard.
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