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quant-ph2007
Periodic orbit theory and spectral statistics for scaling quantum graphs
Yu. Dabaghian
The explicit solution to the spectral problem of quantum graphs found recently in \cite{Anima}, is used to produce the exact periodic orbit theory description for the probability d…
quant-ph2006★ 2 cited
Spectral statistics for scaling quantum graphs
Yu. Dabaghian
The explicit solution to the spectral problem of quantum graphs is used to obtain the exact distributions of several spectral statistics, such as the oscillations of the quantum mo…
quant-ph2005
Statistical Properties of Quantum Graph Spectra
Yu. Dabaghian
A general analytical approach to the statistical description of quantum graph spectra based on the exact periodic orbit expansions of quantum levels is discussed. The exact and app…