### An Inclusive Model of Pair Production

Yuri A. Rylov

Institute for Problems in Mechanics, Russian Academy of
Sciences,
101, bld.1 Vernadskii Ave. , Moscow, 117526, Russia.
e-mail: rylov@ipmnet.ru
Updated 06/23/98
#### Abstract

The conventional (exclusive) description of pair production requires
many functions of many space-time points. An attempt to develope another
pair production model which uses several functions of only one space-time
point is made. A dynamic system described by the Dirac equation in two-dimensional
space-time is considered. The system is described in terms of hydrodynamic
variables. Such a description contains a quantum variable *k* responsible
for quantum effects and sensitive to a collision of wave packets. The effective
mass *M* of particles depends on *k.* Modifying this dependence
*M(k)* one obtains another dynamic system (inclusive model). This
model describes an effect of pair production, because the mean world lines
of the modified model can make zigzag in the time direction. The quantum
variable kappa describes some force field (*k*-field), whose properties
are investigated, as well as a mechanism of pair production by means of
the *k*-field.

(There is the paper in the form of a postscript
file. Figures for the paper in the form of four files incf.1.ps,
incf2.ps, incf3.ps, incf4.ps.)