  The quantum Langevin formalism is used to study the charge carrier transport
in a twodimensional sample. The center of mass of charge carriers is visualized
as a quantum particle, while an environment acts as a heat bath coupled to it
through the particle-phonon interaction. The dynamics of the charge carriers is
limited by the average collision time which takes effectively into account the
two-body effects. The functional dependencies of particle-phonon interaction
and average collision time on the temperature and magnetic field are
phenomenologically treated. The galvano-magnetic and thermo-magnetic effects in
the quantum system appear as the result of the transitional processes at low
temperatures.
