Based on the developed quantum microscopic theory, the interaction of weakelectromagnetic radiation with dense ultracold atomic clouds is described indetail. The differential and total cooperative scattering cross sections arecalculated for monochromatic radiation as particular examples of application ofthe general theory. The angular, spectral, and polarization properties ofscattered light are determined. The dependence of these quantities on thesample size and concentration of atoms is studied and the influence ofcollective effects is analyzed.
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