scholarly journals Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory

2010 ◽  
Vol 82 (10) ◽  
Author(s):  
F. Hebenstreit ◽  
R. Alkofer ◽  
H. Gies
2015 ◽  
Vol 594 ◽  
pp. 012055
Author(s):  
Dániel Berényi ◽  
Sándor Varró ◽  
Péter Lévai ◽  
Vladimir V Skokov

1992 ◽  
Vol 13 (4) ◽  
pp. 241-250 ◽  
Author(s):  
S. A. Baran ◽  
I. H. Duru

2016 ◽  
Vol 30 (08) ◽  
pp. 1650035
Author(s):  
Xinfang Song ◽  
Qiang Wang ◽  
Libin Fu

Electron–positron pair-production process is observed in polychromatic light oscillating electric fields. A quantum kinetic theory is presented to obtain the pair-production rate and the momentum information. Oscillating structures of the particle yield and the odd–even structure of the momentum–frequency spectrum are depicted. The roles of the phase factor and the frequency multiplication are analyzed. We find the odd–even structures are remained in the triple-frequency field.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hidetoshi Taya ◽  
Toshiaki Fujimori ◽  
Tatsuhiro Misumi ◽  
Muneto Nitta ◽  
Norisuke Sakai

Abstract We study the vacuum pair production by a time-dependent strong electric field based on the exact WKB analysis. We identify the generic structure of a Stokes graph for systems with the vacuum pair production and show that the number of produced pairs is given by a product of connection matrices for Stokes segments connecting pairs of turning points. We derive an explicit formula for the number of produced pairs, assuming the semi-classical limit. The obtained formula can be understood as a generalization of the divergent asymptotic series method by Berry, and is consistent with other semi-classical methods such as the worldline instanton method and the steepest descent evaluation of the Bogoliubov coefficients done by Brezin and Izykson. We also use the formula to discuss effects of time-dependence of the applied strong electric field including the interplay between the perturbative multi-photon pair production and non-peturbative Schwinger mechanism, and the dynamically assisted Schwinger mechanism.


Author(s):  
Klaus Morawetz

The historical development of kinetic theory is reviewed with respect to the inclusion of virial corrections. Here the theory of dense gases differs from quantum liquids. While the first one leads to Enskog-type of corrections to the kinetic theory, the latter ones are described by quasiparticle concepts of Landau-type theories. A unifying kinetic theory is envisaged by the nonlocal quantum kinetic theory. Nonequilibrium phenomena are the essential processes which occur in nature. Any evolution is built up of involved causal networks which may render a new state of quality in the course of time evolution. The steady state or equilibrium is rather the exception in nature, if not a theoretical abstraction at all.


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