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Quantum graphs: Applications to quantum chaos and universal spectral statistics

ADVANCES IN PHYSICS, no. 5-6 (2010): 527-625

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During the last few years quantum graphs have become a paradigm of quantum chaos with applications from spectral statistics to chaotic scattering and wavefunction statistics. In the first part of this review we give a detailed introduction to the spectral theory of quantum graphs and discuss exact trace formulae for the spectrum and the q...更多

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