  The semiclassical kinetic theory of Dirac particles in the presence of
external electromagnetic fields and global rotation is established. To provide
the Hamiltonian formulation of Dirac particles a symplectic two-form which is a
matrix in spin indices is proposed. The particle number and current densities
for the Dirac particles are acquired in the helicity basis. Following a similar
procedure, semiclassical kinetic theory of the Weyl particles is accomplished.
It is shown that the phase-space dynamics of the Weyl and Dirac particles is
directly linked. The anomalous chiral effects due to the external
electromagnetic fields and angular velocity of the frame are calculated.
