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Tunneling dynamics in stationary field emission
Author(s) -
Gottlieb B.,
Kleber M.
Publication year - 1992
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19925040507
Subject(s) - semiclassical physics , quantum tunnelling , physics , electron , field (mathematics) , stationary state , limit (mathematics) , quantum , quantum mechanics , rectangular potential barrier , classical limit , mathematical analysis , mathematics , pure mathematics
Stationary three‐dimensional field emission out of an ultrathin quantum well is analyzed in terms of the semiclassical Hamilton‐Jacobi theory. We compare the spatial quantum distribution of the tunneling electrons with the corresponding results obtained from real‐time tunneling trajectories. The classical‐limit trajectory method reproduces the exact quantum distribution for weak external fields. The Büttiker‐Landauer expression for the barrier crossing velocity is confirmed.