It is shown that, in general, the interaction between relaxing quantum systems and radiation is described by
non-Markov transport equations for the density matrix ρp and the relaxation matrix depends on the
properties of the radiation. The usual Markov-type equations for ρp are obtained from these equations if
γτc≪1 and (∊2+4
V
2)1/2τc≪1 (γ is the width of the investigated transition in a quantum system, rc is the
correlation time of the perturbations causing relaxation, e is the frequency detuning, and
V
is the
energy of the interaction between the system and the radiation field). When the second inequality is
disobeyed, the relaxation process deviates strongly from the Markov type. In the case of small values of
V
, this results in a non-Lorentzian profile of the absorption lines characterized by a steep descent in
the wings. In the range of high values of
V
, when 2
V
τc
1, the whole relaxation process becomes
greatly modified: the dependence of the relaxation coefficients on
V
becomes strong and a coupling
appears between the relaxations of the diagonal and the nondiagonal elements of the density matrix. This is
manifested, in particular, in the saturation effect: the term describing saturation in the expression for the
polarizability changes considerably and the expression for the line width loses the component due to the
adiabatic (elastic) perturbation.