A new mathematical model of tunnelling and the Hartman effect puzzle
Abstract
In this paper we develop and refine our recent model of a one-dimensional completed scattering, which gives an individual description of the transmission and reflection subprocesses at all stages of scattering. We show that the group, dwell and Larmor characteristic times, introduced in this model for the subprocesses, are in a full agreement with special relativity and allow us to solve the Hartman effect puzzle.
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