1005.1323 (N. L. Chuprikov)

On the generalized Hartman effect and transmission time for a particle
tunneling through two identical rectangular potential barriers    [PDF]

N. L. Chuprikov

We develop a new quantum-mechanical model of scattering a particle on a one-dimensional (1D) system of two identical rectangular potential barriers, which treats this process as that consisting of two alternative subprocesses (transmission and reflection) and represents the wave function to describe the whole process as the superposition of a unique pair of components to describe causally evolving transmission and reflection at all stages of scattering. We define for each subprocess the asymptotic and local group scattering times as well as the dwell time. In the limit of an opaque system the {\it asymptotic} group transmission time saturates, while the dwell and {\it local} group transmission times increase exponentially and depend on the distance between the barriers.

View original: http://arxiv.org/abs/1005.1323