### Interplay between Dynamic Systems Described by the Klein-Gordon
and Dirac Equations

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

#### Abstract

It is shown that in the (1+1)-dimensional space-time the dynamic system,
described by the free Klein-Gordon equation, turns to the dynamic system,
described by the free Dirac equation, provided the current and the energy-momentum
tensor are redefined in a proper way. By means of a change of variables
the spinor wave function satisfying the Dirac equation transforms into
a scalar wave function satisfying the Klein-Gordon equation. Expressions
for the current and the energy-momentum tensor of the Dirac system appear
to depend on an arbitrary constant timelike or null vector. It can be interpreted
in the sense that the Dirac dynamic system is not relativistic.

(There is the paper in the form of a
postscript file).

Updated 07/07/97