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Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems | | M. Turek
; K. Richter
; | | Date: |
23 Mar 2003 | | Subject: | Chaotic Dynamics | nlin.CD | | Abstract: | 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 (M. Sieber and K. Richter, Phys. Scr. T90, 128 (2001); M. Sieber, J. Phys. A: Math. Gen. 35, L613 (2002)). Our results coincide with corresponding random matrix predictions. Furthermore, we study the transition from the Gaussian orthogonal to the Gaussian unitary ensemble. | | Source: | arXiv, nlin.CD/0303053 | | Services: | Forum | Review | PDF | Favorites | |
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