Regular Article

Field emission with relativistic effects in a magnetic field

Institute of Applied Physics, National Academy of Sciences of Ukraine, Petropavlivska str. 58, 40000 Sumy, Ukraine

^a e-mail: lebos@nas.gov.ua

Received: 6 June 2019
Revised: 18 July 2019
Published online: 27 August 2019

Abstract

The work concerns relativistic effects and the influence of an external magnetic field on the transmission coefficient. The Fowler–Nordheim equation has been relativistically generalized and effect of the Lorentz contraction of a potential barrier at the metal-vacuum interface has been found. Influence of the magnetic field parallel to a metal surface on the transmission coefficient is taken into account when _cB < E.