Field electron emission and the Fowler-Nordheim 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 Fowler-Nordheim equation predicts a value for the current outside the metal. In this talk, I will show that the Fowler-Nordheim equation emerges as the long-time 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 Fowler-Nordheim regime.
- tarball: 18princetonB-1.0.tar.gz
- git repository: 18princetonB-git (the git repository contains detailed information about the changes in the slides as well as the source code for all previous versions).
This presentation is based on
[CCJL18]: Solution of the time dependent Schrodinger equation leading to Fowler-Nordheim field emission
Ovidiu Costin, Rodica Costin, Ian Jauslin, Joel L. Lebowitz, 2018
(published in Journal of Applied Physics, volume 124, number 213104)