Delay time and tunneling transient phenomena
Analytic solutions to the time-dependent Schrodinger equation for cutoff wave initial conditions are used to investigate the time evolution of the transmitted probability density for tunneling. For a broad range of values of the potential barrier opacity alpha, we find that the probability density e...
| Authors: | ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2002 |
| Country: | México |
| Institution: | UNAM |
| Repository: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1820 |
| Online Access: | http://hdl.handle.net/11154/1820 |
| Access Level: | Open access |
| Keyword: | Optics Physics, Atomic, Molecular & Chemical |
| Summary: | Analytic solutions to the time-dependent Schrodinger equation for cutoff wave initial conditions are used to investigate the time evolution of the transmitted probability density for tunneling. For a broad range of values of the potential barrier opacity alpha, we find that the probability density exhibits two evolving structures. One refers to the propagation of a forerunner related to a time domain resonance [Phys. Rev. A 64, 0121907 (2001)], while the other consists of a semiclassical propagating wave front. We find a regime where the forerunners are absent, corresponding to positive time delays, and show that this regime is characterized by opacities alpha<alpha(c). The critical opacity alpha(c) is derived from the analytical expression for the delay time, which reflects a link between transient effects in tunneling and the delay time. |
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