LETTER TO THE EDITOR: Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
LETTER TO THE EDITOR: Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
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DOI：
10.1088/0305-4470/35/42/104
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发表时间：
2002-09
期刊：
影响因子：
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通讯作者：
M. Sieber
中科院分区：
文献类型：
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作者：
M. Sieber
考虑具有时间反演对称性的二维一致双曲型方程组的谱形状因子K（τ）的半经典近似，并导出了小τ时的第一非对角修正.结果与GOE随机矩阵系综的形状因子τ2项一致。
We consider the semiclassical approximation to the spectral form factor K(τ) for two-dimensional uniformly hyperbolic systems with time-reversal symmetry, and derive the first off-diagonal correction for small τ. The result agrees with the τ2-term of the form factor for the GOE random matrix ensemble.