Chaotic spectroscopy

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Abstract
We discuss the spectra of quantized chaotic billiards from the point of view of scattering theory. We show that the spectral and the resonance density functions both fluctuate about a common mean. A semiclassical treatment explains this in terms of classical scattering trajectories and periodic orbits of the Poincaré scattering map. This formalism is used to interpret recent experiments where the spectra of chaotic cavities were measured by microwave scattering.