  The detailed derivation of the quantum Landau-Lifshitz-Bloch (qLLB) equation
for simple spin-flip scattering mechanisms based on spin-phonon and
spin-electron interactions is presented and the approximations are discussed.
The qLLB equation is written in the form, suitable for comparison with its
classical counterpart. The temperature dependence of the macroscopic relaxation
rates is discussed for both mechanisms. It is demonstrated that the
magnetization dynamics is slower in the quantum case than in the classical one.
