Timeevolution of electron emission from a metal surface
Mathematical Physics at the Crossings, VirginiaTech, Virginia, USA
May 24, 2019
The electrons in a metal can be extracted from the metal by a variety of processes: for instance by applying a strong electric field (field emission), or shining an intense laser pulse (photoemission). In the case of field emission, the celebrated and widely used FowlerNordheim equation predicts a value for the current of electrons outside the metal. In this talk, I will show that the FowlerNordheim equation emerges as the longtime asymptotic solution of a Schrodinger equation with a realistic initial condition, thereby justifying the use of the Fowler Nordheim equation in real setups. As for photoemission, the expression for the current has been predicted by Faisal et al, and I will discuss ongoing work to show that this prediction emerges as the longtime asymptotic solution of a Schrodinger equation. In both cases, I will discuss the time scale of the convergence.
Slides
PDF:
LaTeX source:
 tarball: 19hf1.0.tar.gz
 git repository: 19hfgit (the git repository contains detailed information about the changes in the slides as well as the source code for all previous versions).
References
This presentation is based on

[CCJL18]: Solution of the time dependent Schrodinger equation leading to FowlerNordheim field emission
Ovidiu Costin, Rodica Costin, Ian Jauslin, Joel L. Lebowitz, 2018
(published in Journal of Applied Physics, volume 124, number 213104, 2018)
pdf, source