Periodic orbit theory and spectral statistics for scaling quantum graphs
نویسنده
چکیده
The explicit solution to the spectral problem of quantum graphs found recently in [20], is used to produce the exact periodic orbit theory description for the probability distributions of spectral statistics, including the distribution for the nearest neighbor separations, s n = k n − k n−1 , and the distribution of the spectral oscillations around the average, δk n = k n − ¯ k n .
منابع مشابه
Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics
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