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arxiv: 1210.0720 · v2 · pith:OBSPR6WRnew · submitted 2012-10-02 · 🧮 math-ph · math.MP· quant-ph

Universal Chaotic Scattering on Quantum Graphs

classification 🧮 math-ph math.MPquant-ph
keywords chaoticscatteringcalculatecorrelationgraphsquantumresultss-matrix
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We calculate the S-matrix correlation function for chaotic scattering on quantum graphs and show that it agrees with that of random--matrix theory (RMT). We also calculate all higher S-matrix correlation functions in the Ericson regime. These, too, agree with RMT results as far as the latter are known. We concjecture that our results give a universal description of chaotic scattering.

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