Bose-Einstein condensation (BEC) is the frontier research field of atomic and molecular physics. There have been dozens of groups which had obtained the BEC since the first BEC experiment was achieved successfully in 1995, a great number of dramatic results have been achieved. The quantum manipulation of the momentum Bose-Einstein condensate by means of super-radiant scattering is one of the promising research topics. The cold atom physics group of Peking University implemented serial experiments on Bose-Einstein condensation superadiant scattering since they achieved BEC in experiment from 2004. It introduces the related experiments on quantum manipulation of the momentum Bose-Einstein condensate by means of superradiant scattering.