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Article

The spin contribution to the form factor of quantum graphs

2003en
ABI

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() due to spin propagation around orbits produce higher order terms in the small- asymptotics in agreement with symplectic random matrix ensembles. We determine conditions on the group of spin rotations sucient to generate CSE statistics.

Citations and references

Cited by 30 references