The spin contribution to the form factor of quantum graphs
Chaotic Dynamics
2009-11-10 v1
Abstract
Following the quantisation of a graph with the Dirac operator (spin-1/2) we explain how additional weights in the spectral form factor K(\tau) due to spin propagation around orbits produce higher order terms in the small-\tau asymptotics in agreement with symplectic random matrix ensembles. We determine conditions on the group of spin rotations sufficient to generate CSE statistics.
Cite
@article{arxiv.nlin/0304046,
title = {The spin contribution to the form factor of quantum graphs},
author = {Jens Bolte and Jonathan Harrison},
journal= {arXiv preprint arXiv:nlin/0304046},
year = {2009}
}
Comments
9 pages