dorsal/arxiv
View SchemaPeriodic orbit theory and spectral statistics for scaling quantum graphs
| Authors | Yu. Dabaghian |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701128 |
| URL | https://arxiv.org/abs/quant-ph/0701128 |
Abstract
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 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, $\delta k_{n}=k_{n}-\bar k_{n}$.
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"abstract": "The explicit solution to the spectral problem of quantum graphs found\nrecently in \\cite{Anima}, is used to produce the exact periodic orbit theory\ndescription for the probability distributions of spectral statistics, including\nthe distribution for the nearest neighbor separations, $s_{n}=k_{n}-k_{n-1}$,\nand the distribution of the spectral oscillations around the average, $\\delta\nk_{n}=k_{n}-\\bar k_{n}$.",
"arxiv_id": "quant-ph/0701128",
"authors": [
"Yu. Dabaghian"
],
"categories": [
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"title": "Periodic orbit theory and spectral statistics for scaling quantum graphs",
"url": "https://arxiv.org/abs/quant-ph/0701128"
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