General(ized) Hartman effect
Quantum Physics
2021-07-20 v1
Abstract
In this letter we prove explicitly that if Hartman effect exists for an arbitrary `unit cell' potential, then it also exist for a periodic system constructed using the same `unit cell' potential repeatedly. We further show that if Hartman effect exists, the tunneling time in the limiting case of a sufficiently thick `unit cell' potential is same as that of its periodic system. This is true for any arbitrary value of the intervening gap between the consecutive `unit cell' of the periodic system. Thus generalized Hartman effect always occurs for a general potential constructed using multiple copies of single potential which shows Hartman effect.
Cite
@article{arxiv.2010.02755,
title = {General(ized) Hartman effect},
author = {Mohammad Hasan and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:2010.02755},
year = {2021}
}
Comments
7 pages, No figs