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20102021
most citedPair production from the vacuum by a weakly inhomogeneous space-dependent electric potential step

16 citations · 56 across the 10 of their papers we have counts for

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hep-th2021★ 2 cited

Vacuum instability in time-dependent electric fields. New example of exactly solvable case

A. I. Breev, S. P. Gavrilov, D. M. Gitman +1

A new exactly solvable case in strong-field quantum electrodynamics with a time-dependent external electric field is presented. The corresponding field is given by an analytic func…

hep-th2019★ 16 cited

Pair production from the vacuum by a weakly inhomogeneous space-dependent electric potential step

S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev

There exists a clear physical motivation for theoretical studies of the vacuum instability related to the production of electron-positron pairs from a vacuum due to strong external…

hep-th2019★ 3 cited

States of charged quantum fields and their statistical properties in the presence of critical potential steps

S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev

Evolution of charged quantum fields under the action of constant nonuniform electric fields is studied. To this end we construct a special generating functional for density operato…

hep-th2017★ 16 cited

Particle scattering and vacuum instability by exponential steps

S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev

Particle scattering and vacuum instability in a constant inhomogeneous electric field of particular peak configuration that consists of two (exponentially increasing and exponentia…

hep-th2016★ 2 cited

Unitarity and vacuum deformation in QED with critical potential steps

S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev

The present article can be considered as a complement to the work P.R.D 93, 045002 (2016) where an nonperturbative approach to QED with x-electric critical potential steps was deve…

hep-th2014★ 10 cited

Statistical properties of states in QED with unstable vacuum

S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev

We study statistical properties of states of massive quantized charged Dirac and Klein-Gordon fields interacting with a background that violates the vacuum stability, first in gene…