LETTER TO THE EDITOR: Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems

LETTER TO THE EDITOR: Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems
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致编辑的信:对混沌量子系统光谱形状因子的非对角贡献

DOI:
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发表时间:
2003
期刊:
影响因子:
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通讯作者:
K. Richter
K. Richter
中科院分区:
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文献类型:
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作者:
M. Turek;K. Richter

文献摘要

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我们半经典地导出了量子系统与混沌经典对应物的谱形因子的非对角修正。为此,我们提出了一个相空间推广的最近的方法一致双曲系统(Sieber M和Richter K 2001物理学Scr。T 90 128,Sieber M 2002 J.Phys.A:Math.Gen.35 L613)。我们的结果与相应的随机矩阵预测相吻合。此外,我们还研究了从高斯正交系综到高斯么正系综的跃迁。
We semiclassically derive the leading off-diagonal correction to the spectral form factor of quantum systems with a chaotic classical counterpart. To this end we present a phase space generalization of a recent approach for uniformly hyperbolic systems (Sieber M and Richter K 2001 Phys. Scr. T 90 128, Sieber M 2002 J. Phys. A: Math. Gen. 35 L613). Our results coincide with corresponding random matrix predictions. Furthermore we study the transition from the Gaussian orthogonal to the Gaussian unitary ensemble.