[en] By using the Bogolubov transformation the problem is studied of field quantization around a nontrivial classical solution in the four-dimensional space. The transformation results in construction of special invariant field arguments. The latter are combinations of the motion-group generators and define the motion of an extended object as a whole in the classical limit. By choosing different representations of the Poincare algebra it is shown that one can consider all motions of an extended object. Quantization of a local Heisenberg field is constructed in the quasiclassical approximation within the model of static deformed extended object