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Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems
Turek, Marko and Richter, Klaus (2003) Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems. Journal of Physics A: Mathematical and General 36 (30), L455-L462.Date of publication of this fulltext: 05 Aug 2009 13:30
Article
DOI to cite this document: 10.5283/epub.1478
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 (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 ...
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.
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Details
| Item type | Article | ||||||
| Journal or Publication Title | Journal of Physics A: Mathematical and General | ||||||
| Publisher: | IOP PUBLISHING LTD | ||||||
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| Place of Publication: | BRISTOL | ||||||
| Volume: | 36 | ||||||
| Number of Issue or Book Chapter: | 30 | ||||||
| Page Range: | L455-L462 | ||||||
| Date | 16 July 2003 | ||||||
| Institutions | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter | ||||||
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| Classification |
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| Keywords | PERIODIC-ORBITS; MASLOV INDEXES; TIME-REVERSAL; TRACE FORMULA; STATISTICS; APPROXIMATION; | ||||||
| Dewey Decimal Classification | 500 Science > 530 Physics | ||||||
| Status | Published | ||||||
| Refereed | Yes, this version has been refereed | ||||||
| Created at the University of Regensburg | Yes | ||||||
| Item ID | 1478 |
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