English

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

R2 v1 2026-06-23T19:05:20.540Z