| Автор | Samuel L Braunstein |
| Дата выпуска | 1998-07-10 |
| dc.description | Using a surprising result for the Wronskian of solutions with a common factor we show that all of the linearly independent solutions of linear-homogeneous ODEs have a simple form in a generalized phase-integral representation. This allows the generalization of WKB-like expansions to higher-order differential equations in a way that extends the usual phase-integral methods. This work clarifies the internal structure of phase-integral representations as being discrete transforms over the quasiphases of the linearly independent ODE solutions and hence clarifies the structure of solutions to linear ODEs. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Generalized phase-integrals for linear homogeneous ODEs |
| Тип | paper |
| DOI | 10.1088/0305-4470/31/27/007 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 31 |
| Первая страница | 5767 |
| Последняя страница | 5773 |
| Аффилиация | Samuel L Braunstein; SEECS, University of Wales, Bangor LL57 1UT, UK |
| Выпуск | 27 |
