  We theoretically study the renormalization of inertial effects on the spin
dependent transport of conduction electrons in a semiconductor by taking into
account the interband mixing on the basis of k.p perturbation theory. In our
analysis, for the generation of spin current we have used the extended Drude
model where the spin orbit coupling plays an important role. We predict
enhancement of the spin current resulting from the rerormalized spin orbit
coupling effective in our model in cubic and non cubic crystal. Attention has
been paid to clarify the importance of gauge fields in the spin transport of
this inertial system. A theoretical proposition of a perfect spin filter has
been done through the Aharanov Casher like phase corresponding to this inertial
system. For a time dependent acceleration, effect of $\vec{k} . \vec{p}$
perturbation on the spin current and spin polarization has also been addressed.
Furthermore, achievement of a tunable source of polarized spin current through
the non uniformity of the inertial spin orbit coupling strength has also been
discussed.
