| Автор | P B Abraham |
| Автор | B DeFacio |
| Автор | H E Moses |
| Дата выпуска | 1983-02-01 |
| dc.description | The authors consider the examination of how the triangularity conditions on the Gelfand-Levitan kernel (1951) affect the nature of the potentials. The original triangularisation property for the one-dimensional problem led to local potentials. The triangularity conditions used here (which is the one-dimensional analogue of the three-dimensional conditions used in a previous paper) lead to simple non-local potentials, which because of their form we call parity-dependent potentials. The inverse spectral theory problem is solved explicitly for several types of spectral measure functions. Such solutions give parity-dependent potentials with complete sets of eigenfunctions in terms of elementary functions. Using these examples, it is shown that a rich spectral theory exists with some aspects strikingly different from those of the spectral theory for local potentials. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Parity-dependent potentials for the one-dimensional Schrodinger equation obtained from inverse spectral theory |
| Тип | paper |
| DOI | 10.1088/0305-4470/16/2/013 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 16 |
| Первая страница | 303 |
| Последняя страница | 316 |
| Аффилиация | P B Abraham; Naval Underwater Systems Center, New London, CT, USA |
| Аффилиация | B DeFacio; Naval Underwater Systems Center, New London, CT, USA |
| Аффилиация | H E Moses; Naval Underwater Systems Center, New London, CT, USA |
| Выпуск | 2 |
