“…A general approach to consider the BrS process (both the ordinary and the polarizational) in collisions with many-electron targets is based on a consistent application of quantum mechanics and quantum many-body theory. The main results obtained by using this approach include: (a) application of the many-body theory for accurate calculations of the dynamic generalized polarizability of the target [60][61][62][63][64] (b) development of the methods for approximate treatment of of the dynamic response of the target [65][66][67][68][69][70], (c) calculation of the total BrS spectra of in collisions of nonrelativistic electrons on many-electron atoms over wide range of emitted photon energies including the regions of giant resonances [71][72][73][74], (d) theoretical description of the PBrS in collisions of slow atomic particles and in collisions involving atoms in the excited states [75][76][77], (e) numerical calculations of inelastic BrS [78,79], (f) theoretical and numerical description of the BrS process in electron-cluster collisions [80][81][82][83][84], (g) the full relativistic description of the BrS in a charged particle-atom collision [85][86][87].…”