Chaotic scattering on graphs


Quantized, compact graphs are excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity, we show that they display all the features which characterize quantum chaotic scattering. We derive exact expressions for the scattering matrix, and an exact trace formula for the density of resonances, in terms of classical orbits… (More)


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@article{Kottos2000ChaoticSO, title={Chaotic scattering on graphs}, author={Kottos and Smilansky}, journal={Physical review letters}, year={2000}, volume={85 5}, pages={968-71} }