Waltner, Daniel and Heusler, Stefan and Urbina, Juan Diego and Richter, Klaus (2009) The semiclassical origin of curvature effects in universal spectral statistics. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 42 (29): 292001. ISSN 1751-8113,
Full text not available from this repository.Abstract
We consider the energy-averaged two-point correlator of spectral determinants and calculate contributions beyond the diagonal approximation using semiclassical methods. Evaluating the contributions originating from pseudoorbit correlations in the same way as in Heusler et al (2007 Phys. Rev. Lett. 98 044103) we find a discrepancy between the semiclassical and the random matrix theory result. A complementary analysis based on a field-theoretical approach shows that the additional terms occurring in semiclassics are canceled in field theory by so-called curvature effects. We give the semiclassical interpretation of the curvature effects in terms of contributions from multiple traversals of periodic orbits around shorter periodic orbits and discuss the consistency of our results with previous approaches.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PERIODIC-ORBITS; QUANTUM CHAOS; DETERMINANTS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Sep 2020 09:21 |
| Last Modified: | 10 Sep 2020 09:21 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28697 |
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