Field electron emission and the FowlerNordheim equation
Princeton University, New Jersey, USA
November 13, 2018
Consider a metallic field emitter shaped like a thin needle, at the tip of which a large electric field is applied. Electrons spring out of the metal under the influence of the field. The celebrated and widely used FowlerNordheim equation predicts a value for the current 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. I will also discuss the rate of convergence to the FowlerNordheim regime.
Slides
PDF:
LaTeX source:
 tarball: 18princetonB1.0.tar.gz
 git repository: 18princetonBgit (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