Berkolaiko, G. and Shanz, H. and Whitney, R.S. (2002) Leading off-diagonal correction to the form factor of large graphs. Physical Review Letters, 88 (10). p. 104101. ISSN 00319007
Full text not available in this repository. (Request a copy from the Strathclyde author)Official URL: http://dx.doi.org/10.1103/PhysRevLett.88.104101
Abstract
Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, K(τ), of a generic quantum graph with mixing classical dynamics and time-reversal symmetry. We calculate the contribution from pairs of self-intersecting orbits that differ from each other only in the orientation of a single loop. In the limit of large graphs, these pairs produce a contribution -2τ2 to the form factor which agrees with random-matrix theory.
| Item type: | Article |
|---|---|
| ID code: | 2058 |
| Keywords: | periodic-orbit theory, random-matrix theory, graphs, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 14 Jan 2007 |
| Last modified: | 12 Mar 2012 10:37 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/2058 |
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