  There is an opinion that the Bohm reformulation of the EPR paradox in terms
of spin variables is equivalent to the original one. In this note we show that
such an opinion is not justified. We apply to the original EPR problem the
method which was used by Bell for the Bohm reformulation. He has shown that
correlation function of two spins cannot be represented by classical
correlation of separated bounded random processes. This Bell`s theorem has been
interpreted as incompatibility of local realism with quantum mechanics. We show
that, in contrast to Bell`s theorem for spin or polarization correlation
functions, the correlation of positions (or momenta) of two particles,
depending on the rotation angles, in the original EPR model always admits a
representation in the form of classical correlation of separated random
processes. In this sense there exists a local realistic representation for the
original EPR model but there is no such a representation for the Bohm spin
reformulation of the EPR paradox. It shows also that the phenomena of quantum
nonlocality is based not only on the properties of entangled states but also on
the using of particular bounded observables.
