Diagonal approximation of the form factor of the unitary group
| dc.creator | Berkolaiko, G. | |
| dc.date | 2005-09-21 | |
| dc.date.accessioned | 2026-07-07T06:27:37Z | |
| dc.date.available | 2026-07-07T06:27:37Z | |
| dc.description | The form factor of the unitary group U(N) endowed with the Haar measure characterizes the correlations within the spectrum of a typical unitary matrix. It can be decomposed into a sum over pairs of ``periodic orbits'', where by periodic orbit we understand any sequence of matrix indices. From here the diagonal approximation can be defined in the usual fashion as a sum only over pairs of identical orbits. We prove that as we take the dimension $N$ to infinity, the diagonal approximation becomes ``exact'', that is converges to the full form factor. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0509037 | |
| dc.identifier | http://arxiv.org/abs/nlin/0509037 | |
| dc.identifier | J. Phys. A: Math. Gen. 39 (2006) L77-L84 | |
| dc.identifier | doi:10.1088/0305-4470/39/4/L01 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97463 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Diagonal approximation of the form factor of the unitary group | |
| dc.type | text |