| Автор | Hans-Jürgen Sommers |
| Автор | Fritz Haake |
| Автор | Joachim Weber |
| Дата выпуска | 1998-05-15 |
| dc.description | We determine the joint density of secular coefficients and of the traces of powers for random unitary matrices from Dyson's circular ensembles. A byproduct are workable `unitarity conditions', necessary and sufficient for all roots of a polynomial to be unimodular and different. These findings will be useful for combinations of random-matrix theory with semiclassical approximations in calculating spectral properties of quantum systems whose classical limit is globally chaotic. In a first such application we show that reasonable quasi-energy spectra result by throwing dice à la random-matrix theory to complement restricted knowledge (rigorous or from short periodic orbits) of the secular polynomial of a unitary Floquet matrix. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Joint densities of secular coefficients for unitary matrices |
| Тип | paper |
| DOI | 10.1088/0305-4470/31/19/007 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 31 |
| Первая страница | 4395 |
| Последняя страница | 4401 |
| Аффилиация | Hans-Jürgen Sommers; Fachbereich Physik, Universität-Gesamthochschule Essen, 45117 Essen, Germany |
| Аффилиация | Fritz Haake; Fachbereich Physik, Universität-Gesamthochschule Essen, 45117 Essen, Germany |
| Аффилиация | Joachim Weber; Fachbereich Physik, Universität-Gesamthochschule Essen, 45117 Essen, Germany |
| Выпуск | 19 |
