  Recently a new class of time-dependent Bell inequalities in Wigner form was
introduced. The structure of the inequalities allows experimental studies of
quantum and open quantum systems in external fields. In this paper we study the
properties of the time dependent Wigner inequalities using the time evolution
of neutral pseudoscalar mesons. It is shown that it is always possible to find
a range of parameters to test for violation in an experimentally accessible
area. The effect of the relaxation of the inequalities for large time scales is
demonstrated.
