Pair production in time-dependent electric fields

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

Correlations of substituent effects on proton and fluorine chemical shifts with inverse ionization potentials

1967 ◽  
Vol 45 (24) ◽  
pp. 3143-3151 ◽  
Author(s):  
T. Schaefer ◽  
F. Hruska ◽  
H. M. Hutton
Keyword(s):  
Electric Fields ◽  
Chemical Shifts ◽  
Substituent Effects ◽  
Group Iv ◽  
The Other ◽  
Ionization Potentials ◽  
Time Dependent ◽  
Practical Application ◽  
Methyl Proton ◽  
Proton Chemical Shifts

The fluorine and proton chemical shifts in some geminally disubstituted vinylidene fluorides and ethylenes are discussed. For these compounds, at least, there are difficulties with an interpretation based on intramolecular time-dependent electric fields. On the other hand, the shifts correlate with the inverse ionization potentials of the substituents, indicating a paramagnetic effect arising from the second term in Ramsey's expression. It is suggested that the effect operates via the bonds and not across space. Methyl proton shifts in a series of substituted methyl compounds of group IV, V, and VI elements show similar correlations. A practical application of the correlation to spectral analysis problems is given.

Determination of the Internal Electric Field in the Electrooptic Active Layer of Multilayer Polymer Stacks

1997 ◽  
Vol 488 ◽  
Author(s):  
S. Grossmann ◽  
T. Weyrauch ◽  
W. Haase
Keyword(s):  
Electric Field ◽  
Electric Fields ◽  
Time Dependent ◽  
Polymer Interfaces ◽  
Internal Electric Field ◽  
Inhomogeneous Distribution ◽  
Time Dependent Behaviour ◽  
Dependent Behaviour

AbstractWe report on a method to investigate the inhomogeneous distribution of an electric dc field in multilayer polymer stacks. In situ electroabsorption (EA) measurements are applied in order to estimate the local electric fields in double layer polymer films. The observed time dependent behaviour is compared with a model equivalent circuit. The results indicate that besides the relation of ohmic resistivities and capacities of the different polymer layers in the investigated systems also the influence of the electric properties of polymer/electrode and polymer/polymer interfaces must be considered.

On multidimensional inverse scattering in time-dependent electric fields

2013 ◽  
Vol 29 (8) ◽  
pp. 085012 ◽  
Author(s):  
Tadayoshi Adachi ◽  
Yuko Fujiwara ◽  
Atsuhide Ishida
Keyword(s):  
Electric Fields ◽  
Inverse Scattering ◽  
Time Dependent

scholarly journals Dynamics of Berry-phase polarization in time-dependent electric fields

2004 ◽  
Vol 69 (8) ◽  
Author(s):  
Ivo Souza ◽  
Jorge Íñiguez ◽  
David Vanderbilt
Keyword(s):  
Electric Fields ◽  
Berry Phase ◽  
Time Dependent

scholarly journals Pair production from space- and time-dependent strong fields

2015 ◽  
Vol 594 ◽  
pp. 012055
Author(s):  
Dániel Berényi ◽  
Sándor Varró ◽  
Péter Lévai ◽  
Vladimir V Skokov
Keyword(s):  
Pair Production ◽  
Time Dependent ◽  
Strong Fields ◽  
Space And Time
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