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Published on: June 8, 2018
Chaotic scattering on individual quantum graphs
1Faculty of Mathematics and Physics, Charles University, 180 00 Praha 8, Czech Republic.
Abstract:
For chaotic scattering on quantum graphs, the semiclassical approximation is exact. We use this fact and employ supersymmetry, the color-flavor transformation, and the saddle-point approximation to calculate the exact expression for the lowest and asymptotic expressions in the Ericson regime for all higher correlation functions of the scattering matrix. Our results agree with those available from the random-matrix approach to chaotic scattering. We conjecture that our results hold universally for quantum-chaotic scattering.
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