Quantium dynamics of an extended object in Bogolyubov's group variables

Bogolyubov's method of group variables is used to consider the dynamics of a quantum-field Fermi–Bose system in the neighborhood of a nontrivial classical component in the form of an extended object of the type of a kink. It is shown how the quantum corrections are calculated in the framework of the method. A study is made of the kink dynamics with allowance for the quantum fluctuations that arise when it interacts with the fundamental particles of the fields; the effects due to them and related questions are discussed.