The spin contribution to the form factor of quantum graphs

Details The spin contribution to the form factor of quantum graphs The spin contribution to the form factor of quantum graphs

2003-04-24

arxiv.org/abs/nlin/0304046v1

J. Phys. A: Math. Gen. 36 (2003) L433-L440

Nonlinear Sciences

Chaotic Dynamics

9 pages

Scientific paper

10.1088/0305-4470/36/27/101

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.

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