TY  - SER
AU  - Adorno,Tiago C.
AU  - Gavrilov,Sergey P.
AU  - Gitman,Dmitri M.
TI  - Vacuum instability in a constant inhomogeneous electric field: a new example of exact nonperturbative calculations
KW  - неустойчивость вакуума
KW  - неоднородное электрическое поле
KW  - точные непертурбативные расчеты
KW  - статьи в журналах
N1  - Библиогр.: 43 назв
N2  - Basic quantum processes (such as particle creation,
reflection, and transmission on the corresponding
 Klein steps) caused by inverse-square electric fields are calculated.
 These results represent a new example of exact
 nonperturbative calculations in the framework of QED. The
 inverse-square electric field is time-independent, inhomogeneous
 in the x -direction, and is inversely proportional to x
 squared. We find exact solutions of the Dirac and Klein–
 Gordon equations with such a field and construct corresponding
 in- and out-states. With the help of these states
 and using the techniques developed in the framework of
 QED with x-electric potential steps, we calculate characteristics
 of the vacuum instability, such as differential and
 total mean numbers of particles created from the vacuum
 and vacuum-to-vacuum transition probabilities.We study the
 vacuum instability for two particular backgrounds: for fields
 widely stretches over the x-axis (small-gradient configuration)
 and for the fields sharply concentrates near the origin
 x = 0 (sharp-gradient configuration).We compare exact
 results with ones calculated numerically. Finally,we consider
 the electric field configuration, composed by inverse-square
 fields and by an x-independent electric field between them
 to study the role of growing and decaying processes in the
 vacuum instability
UR  - http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000795077
ER  -