Tunneling time through a rectangular barrier

• Autor(a) principal: de Aquino, Veríssimo M.
• Data de Publicação: 1998
• Outros Autores: Aguilera-Navarro, Valdir C. [UNESP], Goto, Mario, Iwamoto, Hiromi
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1103/PhysRevA.58.4359; http://hdl.handle.net/11449/223804

In this paper, we discuss the tunneling time of a quantum particle through a rectangular barrier. The reflection and transmission times associated with the wave packets representing the particle are discussed. By using an initial Gaussian momentum distribution, we carry out a comparative analysis of the stationary phases of the incident, reflected, and transmitted wave packets leading to the reflection and transmission times [Formula Presented] and [Formula Presented] respectively. In the present treatment of this old and very known problem we take into account the deformations of the reflected and transmitted momentum distributions. These deformations produce a dependence of the reflection and transmission times on the location of the initial wave packet. In a parallel calculation, by numerically monitoring the time evolution of the system, we characterize a reflection and a transmission time. Such times agree with the ones obtained via the stationary phase method. © 1998 The American Physical Society.