Semiclassical interaction between monochromatic electromagnetic radiation and an atom with two unstable levels; some fallacious works by Kamenov-Bonchev

The solution of the time-dependent Hamiltonian for the classical dipole interaction of a two-level atom with a monochromatic electromagnetic wave is presented. Both atomic energy levels are assumed to be unstable. The amplitudes and probabilities of transitions between the energy levels as well as the cross-sections of resonance absorption and induced emission are obtained explicitly. It is shown that in both stationary and nonstationary limits the instability of the lower level does not lead to a differential cross section of induced emission larger than those obtained from the Breit-Wigner formula in the standard collision theory. (authors)