INTERACTION BETWEEN A PHOTON AND A 2-LEVEL ATOM WITH BOTH UNSTABLE ENERGY-LEVELS (TOWARDS SOME FALLACIOUS WORKS OF KAMENOV-BONTCHEV AND GREAVES-SAJO-BOHUS-GROENING)

The classical dipole interaction of a two-level atom with a monochroma tic electromagnetic wave is considered. Both atomic energy levels are assumed to be unstable. The solution of the problem for a time-depende nt Hamiltonian is obtained. The amplitudes and probabilities of transi tions between the energy levels as well as the cross-sections of reson ance absorption and induced emission are obtained explicitly. It is sh own that in both stationary and nonstationary limits the instability o f the lower level does not lead to differential cross-sections of indu ced emission larger than those obtained from the Breit-Wigner formula in the standard collision theory.