Equal-time kinetic equations in a rotational field

Abstract We investigate quantum kinetic theory for a massive fermion system under rotational field. From the Dirac equation in rotating frame we derive complete set of equations spin components 8- and 7-dimensional Wigner functions. While particles are no longer on mass shell general case due to rotation–spin coupling, there always only two independent components, which can be taken as number densities. With help from off-shell constraint obtain closed transport classical limit at level. The rotation–orbital coupling controls dynamical evolution density, but explicitly changes density.