| Автор | Alejandro M F Rivas |
| Автор | Alfredo M Ozorio de Almeida |
| Дата выпуска | 2002-05-01 |
| dc.description | We develop a semiclassical approximation for the spectral Wigner and Husimi functions in the neighbourhood of a classically unstable periodic orbit of chaotic 2-D maps. The prediction of hyperbolic fringes for the Wigner function, asymptotic to the stable and unstable manifolds, is verified computationally for a (linear) cat map, after the theory is adapted to a discrete phase space appropriate to a quantized torus. The characteristic fringe patterns can be distinguished even for quasi-energies where the fixed point is not Bohr-quantized. The corresponding Husimi function dampens these fringes with a Gaussian envelope centred on the periodic point. Even though the hyperbolic structure is then barely perceptible, more periodic points stand out due to the weakened interference. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Hyperbolic scar patterns in phase space |
| Тип | paper |
| DOI | 10.1088/0951-7715/15/3/309 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 15 |
| Первая страница | 681 |
| Последняя страница | 693 |
| Выпуск | 3 |
