Periodic orbit theory and spectral statistics for scaling quantum graphs

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dc.creatorDabaghian, Yu.
dc.date2007-01-18
dc.date.accessioned2026-07-07T07:41:46Z
dc.date.available2026-07-07T07:41:46Z
dc.descriptionThe 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 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, $δk_{n}=k_{n}-\bar k_{n}$.
dc.description24 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0701128
dc.identifierhttp://arxiv.org/abs/quant-ph/0701128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122234
dc.subjectQuantum Physics
dc.titlePeriodic orbit theory and spectral statistics for scaling quantum graphs
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