| Автор | Asiri Nanayakkara |
| Дата выпуска | 2004-04-16 |
| dc.description | Classical motion of complex 1D non-Hermitian Hamiltonian systems is investigated analytically to identify periodic, unbounded and chaotic trajectories. Expressions for the Lyapunov exponent for 1D complex Hamiltonians are derived. Complex potentials and V<sub>2</sub>(x) = μx<sup>3</sup> are studied in detail and their Lyapunov exponents are obtained analytically. It was found that when μ is complex all the trajectories of V<sub>1</sub> are chaotic with Lyapunov exponent |Im(μ)| and most of the trajectories of V<sub>2</sub> are periodic when μ is pure imaginary. But for other complex values of μ trajectories of V<sub>2</sub> are non-periodic and show infinite oscillations. Unbounded neighbouring trajectories of V<sub>2</sub> show power-law divergence rather than exponential divergence as in the case of V<sub>1</sub>. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2004 IOP Publishing Ltd |
| Название | Classical trajectories of 1D complex non-Hermitian Hamiltonian systems |
| Тип | paper |
| DOI | 10.1088/0305-4470/37/15/002 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 37 |
| Первая страница | 4321 |
| Последняя страница | 4334 |
| Аффилиация | Asiri Nanayakkara; Institute of Fundamental Studies, Hanthana Road, Kandy, Sri Lanka |
| Выпуск | 15 |
