[en] It is shown that the Lee model allows one to carry out quantization in the neighbourhood of the classical solution for the equation of motion. The sytem state vector is normalizable and it has finite energy in the limit A(f) → 1. The Bogolyubov transformation permits at the separation of classical constituent from a boson field to strictly take into account the symmetry of the system. Zero modes meanwhile do not arise. In the zero approximation the system state vector could be constructed in one-fermion sector which is the proper vector of the P vector and Q operators