  This work relates to the famous experiments, performed in 1975 and 1979 by
Werner et al., measuring neutron interference and neutron Sagnac effects in the
earth's gravitational field. Employing the method of Stodolsky in its weak
field approximation, explicit expressions are derived for the two phase shifts,
which turn out to be in agreement with the experiments and with the previously
obtained expressions derived from semi-classical arguments: these expressions
are simply modified by relativistic correction factors.
