Solution to quantum optics problems by the block matrices method

The three known models of quantum optics concerned the resonant interaction of three-level atom with two modes of field ((Lambda) -, V- and (Xi) -atom) was demonstrated to have the one general solution. The diagonalization method of block matrices was used to calculate the evolution operator of the atom-field interaction Hamiltonian. The method is outlined in detail by the example of the (Lambda) -atom model.