Application of the generalized Wick theorem in the description of the nuclear structure in the boson space

The generalized Wick theorem for coupled operators is applied for a description of a system of N interacting bosons. The matrix elements of the N-bosons Hamiltonian containing one- and two-body terms are expressed in terms of overlaps between N-boson states spanning a boson space. A possibility of transferring of the presented formalism for the description of 2N-fermion systems is also considered. (author)