scholarly journals Schwinger effect and false vacuum decay as quantum-mechanical tunneling of a relativistic particle

2020 ◽  
Vol 102 (7) ◽  
Author(s):  
Wen-Yuan Ai ◽  
Marco Drewes
Author(s):  
Luís P. Viegas ◽  
Cláudio Manaia Nunes ◽  
Rui Fausto

In 1975, Buchwalter and Closs reported one of the first examples of heavy-atom quantum mechanical tunneling (QMT) by studying the ring closure of triplet cyclopentane-1,3-diyl to singlet bicyclo[2.1.0]pentane in cryogenic...


1991 ◽  
Vol T36 ◽  
pp. 269-275 ◽  
Author(s):  
V A Berezin ◽  
V A Kuzmin ◽  
I I Tkachev

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Adalto R. Gomes ◽  
F. C. Simas ◽  
K. Z. Nobrega ◽  
P. P. Avelino
Keyword(s):  

Research ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Morten Willatzen ◽  
Zhong Lin Wang

A simple model of charge transfer by loss-less quantum-mechanical tunneling between two solids is proposed. The model is applicable to electron transport and contact electrification between e.g. a metal and a dielectric solid. Based on a one-dimensional effective-mass Hamiltonian, the tunneling transmission coefficient of electrons through a barrier from one solid to another solid is calculated analytically. The transport rate (current) of electrons is found using the Tsu-Esaki equation and accounting for different Fermi functions of the two solids. We show that the tunneling dynamics is very sensitive to the vacuum potential versus the two solids conduction-band edges and the thickness of the vacuum gap. The relevant time constants for tunneling and contact electrification, relevant for triboelectricity, can vary over several orders of magnitude when the vacuum gap changes by one order of magnitude, say, 1 Å to 10 Å. Coulomb repulsion between electrons on the left and right material surfaces is accounted for in the tunneling dynamics.


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