Spectral Statistics of the Rectangular Billiard with a Flux Line
Spectral Statistics of the Rectangular Billiard with a Flux Line
复制标题
具有通量线的矩形台球的谱统计
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
S. Fishman
中科院分区：
文献类型：
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作者：
Saar Rahav;S. Fishman
以半经典近似计算了以Aharonov-Bohm通量线为中心的矩形台球的态密度，并将其用于对角线近似中形状因子的计算。最近水平间距和形状因子的分布也进行了数值计算。对于某些通量值，我们发现它们接近于半泊松统计值。数值结果与半经典结果的差异远远大于相似近似下混沌系统和可积系统的数值结果。讨论了这些差异的可能原因。
The density of states of a rectangular billiard with an Aharonov–Bohm flux line in its center was calculated in the semiclassical approximation and was used for the calculation of the form factor in the diagonal approximation. The distribution of nearest level spacings and the form factor were calculated also numerically. For some values of the flux these were found to be close to the ones of the semi-Poisson statistics. The difference between the numerical results and the semiclassical ones were found to be much larger than for chaotic and for integrable systems within similar approximations. Possible reasons for these discrepancies are discussed.