The spin contribution to the form factor of quantum graphs

被引:37
作者
Bolte, J [1 ]
Harrison, J [1 ]
机构
[1] Univ Ulm, Theoret Phys Abt, D-89069 Ulm, Germany
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 27期
关键词
D O I
10.1088/0305-4470/36/27/101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Following the quantization 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.
引用
收藏
页码:L433 / L440
页数:8
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