| Автор | T Prosen |
| Дата выпуска | 1995-06-21 |
| dc.description | The recently developed quantum surface-of-section method is applied to a search for extremely high-lying energy levels in a simple but generic Hamiltonian system between integrability and chaos, namely the semiseparable two-dimensional oscillator. Using the stretch of 13445 consecutive levels with the sequential number around 1.8*10<sup>7</sup> (eighteen million) we have clearly demonstrated the validity of the semiclassical Berry-Robnik level-spacing distribution while at 1000 times smaller sequential quantum numbers we find the very persistent quasi-universal phenomenon of power-law level repulsion which is globally very well described by the phenomenological Brody distribution. This is the first statistically significant numerical confirmation of the Berry-Robnik surmise in an autonomous two-dimensional Hamiltonian system. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Quantum surface-of-section method: Demonstration of semiclassical Berry-Robnik energy level-spacing distribution in a generic two-dimensional Hamiltonian system |
| Тип | lett |
| DOI | 10.1088/0305-4470/28/12/005 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 28 |
| Первая страница | L349 |
| Последняя страница | L356 |
| Аффилиация | T Prosen; Centre for Appl. Math. & Theor. Phys., Maribor Univ., Slovenia |
| Выпуск | 12 |
