Many-body approaches to time dependent resonance fluorescence A.A. Panteleev, Vl.K. Roerich TRINITI, 142980 Troitsk, Moscow region, Russia +7(095)-334-52-56, +7(095)-334-51-58, vroerich@triniti.ru Abstract: The problem of methods to find time-dependent spectra of resonance fluorescence for a medium excited by a short laser pulse is considered. Using generalized second Born approximation for BBGKY-hierarchy along with the method of coherent states we derived the equations to describe time-dependent scattering of a laser pulse in a two-level medium omitting the rescattering of spontaneous emission. Time-dependent spectra of nonstationary resonance fluorescence with two components representing elastic and spontaneous emission have been obtained. By applying the method of Greens functions we have calculated corrections for radiative relaxation operator of an atom subjected to a superstrong laser pulse.