The methods of realization of typical experiments in atomic physics at linear and cyclic accelerators, and also by the external particle beams by means of various internal targets: corpusculars, photons and space localized electromagnetic fields, are considered in this review. The peculiarities of forming the secondary particles coming from the beam and measuring the cross sections of the elementary processes in this case are described. The examples of generation of various charged and quantum states of the beam particles using the definite types of the internal targets separated or merged at the drift distance are presented. It is shown that the atomic processes which take place in this case can be controlled when the corresponding electric, magnetic, and electromagnetic fields are combined with the interaction area.

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