  In the present paper, discussion of the canonical quantization of a weakly
nonideal Bose gas at zero temperature within the framework of the Bogolyubov
approach is continued. Contrary to the previous paper on this subject, here the
two-body interaction potential is considered in the general form. It is shown
that in such a case consideration of the first nonlinear correction also leads
to the automatic particle number conservation without any additional
assumptions or modification of the resulting effective Hamiltonian.
