THE HARTMAN EFFECT AND THE PROCESS OF A BOUND STATE FORMATION

Abstract

In this work, the evolution of wave packets scattering on a field of a one-dimensional potential is considered. The scattering potential is taken as a system of two similar rectangular barriers and the wave packets are constructed on the basis of the scattering wave functions. The process of a quasi-bound state appearance in the region between the barriers is investigated. We investigate the time characteristics, such as the bound state appearance time and its life or the delay time of this process. In particular, the dependence of the time characteristics on the width of rectangular barriers of the scattering potential is considered. It is shown that when the carrier energy of wave packets coincides with the energy value of resonance transmission when in the volume of the scattering potential a quasi-bound state system is formed.