| Revista: | Revista mexicana de física |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000460934 |
| ISSN: | 0035-001X |
| Autors: | Lohr, D1 Hernández, E1 Jáuregui, A2 Mondragón, A1 |
| Institucions: | 1Universidad Nacional Autónoma de México, Instituto de Física, Ciudad de México. México 2Universidad de Sonora, Hermosillo. México |
| Any: | 2018 |
| Període: | Sep-Oct |
| Volum: | 64 |
| Número: | 5 |
| Paginació: | 464-471 |
| País: | México |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico, teórico |
| Resumen en inglés | We study the Jost solutions for the scattering problem of a von Neumann-Wigner type potential, constructed by means of a two times iterated and completely degenerated Darboux transformation. We show that for a particular energy the unnormalized Jost solutions coalesce to give rise to a Jordan cycle of rank two. Performing a pole decomposition of the normalized Jost solutions we find the generalized eigenfunctions: one is a normalizable function corresponding to the bound state in the continuum and the other is a bounded, non-normalizable function. We obtain the time evolution of these functions as pseudo-unitary, characteristic of a pseudo-Hermitian system. An explicit calculation of the cross section as a function of the wave number k reveals no sign of the bound state in the continuum |
| Disciplines | Física y astronomía |
| Paraules clau: | Física, Estados límite en el continuo, Transformaciones de Darboux, Cadena de Jordan |
| Keyword: | Physics, Bound states in the continuum, Darboux transformations, Jordan chain |
| Text complet: | Texto completo (Ver HTML) Texto completo (Ver PDF) |
