Abstract
We define a covariant and gauge-invariant generalization of the Wigner functions of particles with spins 1/2 and 0. The collisionless kinetic equations are obtained for these particles in external gravitational and electromagnetic fields in the quasiclassical approximation; also obtained are the momentum representations of the energy-momentum tensor, current, and spin tensor, taking into account the effects of the spin's interaction with the gravitational field an electromagnetic field. The following notation is used: e and m are the charge and mass of the particles; is Planck's constant; γμ(x) are the covariant-fixed Dirac matrices; σα,β=(1/4)[γα, γβ]: a(μbν)=(1/2) (a μ b ν +aνb μ); [A, B]=A·B − B·A; A,B=A·B+B·A; g(x)=det(g αβ(x));R α αμν=∂μΓ βν βν −...; the speed of light c=1.
Published Version
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