  We consider the Proca theory of the real massive vector field. There is a
locally conserved 4-current operator in such a theory, which one may use to
define the charge operator. Accordingly, there are charged states in which the
expectation value of the charge operator is non-zero. We take a close look at
the charge operator and study the dynamics of the certain class of charged
states. For this purpose, we discuss the mean electric field and 4-current in
such states. The mean electric field has the periodically oscillating Coulomb
component, whose presence explains the periodic charge oscillations. A
complementary insight at such a phenomenon is provided by the mean 4-current,
whose discussion leads to the identification of a certain paradox. Last but not
least, we show that there is a shock wave propagating in the studied system,
which affects analyticity of the mean electric field and 4-current.
