Time dependence of the probability density in the transient regime for tunneling
An exact analytical solution to the time-dependent Schrodinger equation with cutoff wave initial conditions is used to investigate the fast tunneling response of a rectangular potential barrier. We find that just across the tunneling region, the probability density exhibits at short times a transien...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1957 |
| Acceso en línea: | http://hdl.handle.net/11154/1957 |
| Access Level: | acceso abierto |
| Palabra clave: | Optics Physics, Atomic, Molecular & Chemical |
| Sumario: | An exact analytical solution to the time-dependent Schrodinger equation with cutoff wave initial conditions is used to investigate the fast tunneling response of a rectangular potential barrier. We find that just across the tunneling region, the probability density exhibits at short times a transient behavior that may be characterized by a peak t(p) and a width Deltat. We show that t(p) provides the earliest tunneling response of the system and that the top-barrier S-matrix poles play an important role in the process. As a function of the barrier width, t(p) exhibits two regimes. Along the first regime, t(p) remains almost a constant |
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