Low-energy relativistic effects and nonlocality in time-dependent tunneling
We consider exact time-dependent analytic solutions to the Schrodinger equation for tunneling in one dimension with cutoff wave initial conditions at t=0. We obtain that as soon as t not equal 0 the transmitted probability density at any arbitrary distance rises instantaneously with time in a linear...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1999 |
| País: | México |
| Recursos: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/3313 |
| Acesso em linha: | http://hdl.handle.net/11154/3313 |
| Access Level: | acceso abierto |
| Palavra-chave: | Optics Physics, Atomic, Molecular & Chemical |
| Resumo: | We consider exact time-dependent analytic solutions to the Schrodinger equation for tunneling in one dimension with cutoff wave initial conditions at t=0. We obtain that as soon as t not equal 0 the transmitted probability density at any arbitrary distance rises instantaneously with time in a linear manner. Using a simple model we find that the above nonlocal effect of the time-dependent solution is suppressed by consideration of low-energy relativistic effects. Hence at a distance xo from the potential the probability density rises after a time t(0)=x(0)/c restoring Einstein causality. This implies that the tunneling time of a particle can never be zero. [S1050-2947(99)08903-9]. |
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