Spectral statistics for scaling quantum graphs

Details Spectral statistics for scaling quantum graphs Spectral statistics for scaling quantum graphs

2006-08-09

arxiv.org/abs/quant-ph/0608076v1

Physics

Quantum Physics

9 pages, 4 figures

Scientific paper

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 momentum eigenvalues around the average, $\delta
k_{n}=k_{n}-\bar k_{n}$, and the nearest neighbor separations,
$s_{n}=k_{n}-k_{n-1}$.

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