https://doi.org/10.1140/epjc/s10052-016-4289-0
Regular Article - Theoretical Physics
Particle creation by peak electric field
1
Department of Physics, Tomsk State University, 634050, Tomsk, Russia
2
P. N. Lebedev Physical Institute, 53 Leninskiy Prospekt, 119991, Moscow, Russia
3
Department of General and Experimental Physics, Herzen State Pedagogical University of Russia, Moyka Embankment 48, 191186, St. Petersburg, Russia
4
Institute of Physics, University of São Paulo, CP 66318, São Paulo, SP, CEP 05315-970, Brazil
* e-mail: gavrilovsergeyp@yahoo.com
** e-mail: gavrilovsp@herzen.spb.ru
Received:
25
June
2016
Accepted:
27
July
2016
Published online:
11
August
2016
The particle creation by the so-called peak electric field is considered. The latter field is a combination of two exponential parts, one exponentially increasing and another exponentially decreasing. We find exact solutions of the Dirac equation with the field under consideration with appropriate asymptotic conditions and calculate all the characteristics of particle creation effect, in particular, differential mean numbers of created particle, total number of created particles, and the probability for a vacuum to remain a vacuum. Characteristic asymptotic regimes are discussed in detail and a comparison with the pure asymptotically decaying field is considered.
© The Author(s), 2016
