  We present a quantum Boltzmann equation analysis of the spin-Hall effect in a
diffusive Rashba two-dimensional electron system. Within the framework of the
self-consistent Born approximation, we consider the roles of disorder-induced
quasiclassical relaxation, collisional broadening of the quasiparticles, and
the intracollisional field effect in regard to spin-Hall dynamics. We present
an analytical proof that the spin-Hall current vanishes, independently of the
coupling strength, of the quasiparticle broadening, of temperature and of the
specific form of the isotropic scattering potential. A sum relation of the
collision terms in a helicity basis is also examined.
