  We present the complete first order relativistic quantum kinetic theory with
spin for massive fermions derived from the Wigner function formalism in a
concise form that shows explicitly how the 32 Wigner equations reduce to 4
independent transport equations. We solve modified on-shell conditions to
obtain the general solution and present the corresponding transport equations
in three different forms that are suitable for different purposes. We
demonstrate how different spin effects arise from the kinetic theory by
calculating the chiral separation effect with mass correction, the chiral
anomaly from the axial current and the quantum magnetic moment density induced
by vorticity and magnetic field. We also show how to generate the global
polarization effect due to spin vorticity coupling. The formalism presented may
serve as a practical theoretical framework to study different spin effects in
relativistic fermion systems encountered in different areas such as heavy ion,
astro-particle and condensed matter physics as well.
