Transmission coefficients for the exact triangular barrier: an exact general analytical theory that can replace Fowler & Nordheim's 1928 theory

DOI10.1098/RSPA.2011.0025zbMath1227.81157OpenAlexW2164996125MaRDI QIDQ3092883

Richard G. Forbes, Jonathan H. B. Deane

Publication date: 11 October 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2011.0025

zbMATH Keywords

transmission coefficientAiry function approachexact triangular barrierFowler-Nordheim theoryhigh electric field nanosciencewave-mechanical transmission

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electron optics (78A15) Inelastic and multichannel quantum scattering (81U35)

Cites Work

• Strong field electron emission and the Fowler–Nordheim–Schottky theory
• A WKB-Type Approximation to the Schrödinger Equation

This page was built for publication: Transmission coefficients for the exact triangular barrier: an exact general analytical theory that can replace Fowler & Nordheim's 1928 theory