Approximate solution of generalized Lee model in all sectors

A study is made of the interaction of one light relativistic particle with two-level centers at different points of space. A detailed analysis is made of the solution for the case of two centers. The problem is generalized to an arbitrary number of centers ($lN-\theta$-sector). A study is made of the interaction of two light relativistic particles with two two-level centers at different points of space ($2V$-sector). The method enables one to obtain an approximate solution of the problem in the case of $n$ light scalar relativistic particles that impinge on a system consisting of $m$ two-level centers in an excited state and $l$ in the ground state, these all being at different points of space. The solutions that are obtained can be used to investigate the energy, angular, and polarization distribution of the stimulated radiation, to investigate the mechanism of the elementary process of stimulated decay of unstable particles, and also to describe super-radiant systems and radiation echo.