Nonequilibrium statistical operator method in the theory of a single-mode laser based on two-level atoms

The methods of nonequilibrium statistical thermodynamics are used to study the simplest model of a laser – a single-mode laser based on two-level atoms. Zubarev's nonequilibrium statistical operator is used to obtain expressions for the constants cff the coupling of the radiation field and the atoms to their thermal reservoirs in terms of the time corretaCion functions. A quantum hierarchy of equations of the BBGKY type is constructed and solved in the stationary case by separating the irreducible correlation parts of the reduced density matrices. The resulting solution when the number of thermal photons is $n_0=0$ is almost identical with the analogous solution of Weidlich, Risken, and Haken. The solution is investigated in the complete range of variation of the pumping parameter and the generation parameter. The result is compared with the theory of Scully and Lamb and the papers of other authors.