scholarly journals Kinetic equation approach to pair production by a time-dependent electric field

2011 ◽  
Vol 83 (2) ◽  
Author(s):  
A. M. Fedotov ◽  
E. G. Gelfer ◽  
K. Yu. Korolev ◽  
S. A. Smolyansky
Keyword(s):  
Kinetic Equation ◽  
Electric Field ◽  
Pair Production ◽  
Time Dependent ◽  
Equation Approach

Kinetic-Equation Approach to Time-Dependent Correlation Functions

1969 ◽  
Vol 188 (1) ◽  
pp. 487-504 ◽  
Author(s):  
J. L. Lebowitz ◽  
J. K. Percus ◽  
J. Sykes
Keyword(s):  
Kinetic Equation ◽  
Correlation Functions ◽  
Time Dependent ◽  
Equation Approach ◽  
Dependent Correlation

Pair production in an electric field in a time-dependent gauge

1990 ◽  
Vol 41 (4) ◽  
pp. 1312-1317 ◽  
Author(s):  
A. O. Barut ◽  
I. H. Duru
Keyword(s):  
Electric Field ◽  
Pair Production ◽  
Time Dependent

scholarly journals Exact WKB analysis of the vacuum pair production by time-dependent electric fields

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hidetoshi Taya ◽  
Toshiaki Fujimori ◽  
Tatsuhiro Misumi ◽  
Muneto Nitta ◽  
Norisuke Sakai
Keyword(s):  
Electric Field ◽  
Pair Production ◽  
Electric Fields ◽  
Classical Limit ◽  
Strong Electric Field ◽  
Asymptotic Series ◽  
Time Dependent ◽  
Generic Structure ◽  
Connection Matrices ◽  
Schwinger Mechanism

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.

Kinetics of the vacuum e−e+ plasma in a strong electric field and problem of radiation

2020 ◽  
Vol 35 (03) ◽  
pp. 2040028 ◽  
Author(s):  
S. A. Smolyansky ◽  
A. M. Fedotov ◽  
V. V. Dmitriev
Keyword(s):  
Kinetic Equation ◽  
Electric Field ◽  
Strong Electric Field ◽  
Photon Emission ◽  
Collision Integral ◽  
Time Dependent ◽  
Polarization Direction ◽  
Quantum Kinetic Equation ◽  
Linearly Polarized ◽  
Kinetics Of

We consider a quantum kinetic equation for [Formula: see text] plasma created from vacuum under the action of a strong time-dependent linearly polarized electric field. Simplification of the collision integral for photon emission along the polarization direction of the field is discussed.

scholarly journals Stepwise introduction of model complexity in a generalized master equation approach to time-dependent transport

2012 ◽  
Vol 61 (2-3) ◽  
pp. 305-316 ◽  
Author(s):  
V. Gudmundsson ◽  
O. Jonasson ◽  
Th. Arnold ◽  
C-S. Tang ◽  
H.-S. Goan ◽  
...  
Keyword(s):  
Master Equation ◽  
Time Dependent ◽  
Model Complexity ◽  
Equation Approach ◽  
Master Equation Approach ◽  
Dependent Transport ◽  
Generalized Master Equation

scholarly journals Vacuum radiation induced by time dependent electric field

2017 ◽  
Vol 767 ◽  
pp. 431-436 ◽  
Author(s):  
Bo Zhang ◽  
Zhi-meng Zhang ◽  
Wei Hong ◽  
Shu-Kai He ◽  
Jian Teng ◽  
...  
Keyword(s):  
Electric Field ◽  
Time Dependent ◽  
Radiation Induced ◽  
Vacuum Radiation
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