  The first-order gravity effects of Dirac wave functions are found from the
inertial effects in the accelerated frames of reference. Derivations and
discussions about Lense-Thirring effect and the gyrogravitational ratio for
intrinsic spin are presented. We use coordinate transformations among reference
frames to study and understand the Lense-Thirring effect of a scalar particle.
For a Dirac particle, the wave-function transformation operator from an
inertial frame to a moving accelerated frame is obtained. From this, the Dirac
wave function is solved and its change of polarization gives the
gyrogravitational ratio 1 for the first-order gravitational effects. The
eikonal approach to this problem is presented in the end for ready extension to
investigations involving curvature terms.
