TY  - SER
AU  - Gavrilov,Sergey P.
AU  - Gitman,Dmitri M.
AU  - Shishmarev,A.A.
TI  - Particle scattering and vacuum instability by exponential steps
KW  - вакуумная неустойчивость
KW  - Дирака уравнения
KW  - Клейна-Гордона уравнения
KW  - неоднородное электрическое поле
KW  - статьи в журналах
N1  - Библиогр.: 22 назв
N2  - Particle scattering and vacuum instability in a constant inhomogeneous electric field of particular peak configuration that consists of two (exponentially increasing and exponentially decreasing) independent parts are studied. It presents a new kind of external field where exact solutions of the Dirac and Klein-Gordon equations can be found. We obtain and analyze in- and out-solutions of the Dirac and Klein-Gordon equations in this configuration. By their help we calculate probabilities of particle scattering and characteristics of the vacuum instability. In particular, we consider in details three configurations: a smooth peak, a sharp peak, and a strongly asymmetric peak configuration. We find asymptotic expressions for total mean numbers of created particles and for vacuum-to-vacuum transition probability. We discuss a new regularization of the Klein step by the sharp peak and compare this regularization with another one given by the Sauter potential
UR  - http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000644257
ER  -