Use of the method of ordered operators in the theory of laser systems. II. Construction of a theory of laser radiation for Dicke models

On the basis of the previously obtained [1] asymptotically exact (in the sense of the thermodynamic limit) hierarchy of equations for mean values that depend only on the variables of the radiation, a theory of laser radiation is constructed in the framework of two Dicke models. The conditions for the existence of a “radiative laser regime” are found. On the basis of these models, a study is also made of the properties of the Markov and non-Markov kinetic equations describing the laser radiation obtained earlier in [1] by perturbation theory from an asymptotically exact kinetic equation.