Reduction to diagonal form of the Schrödinger operator in Fok space

The Fok space formalism is used to construct operators of creation and annihilation of bound complexes that participate in the scattering process for a system of nonrelativistic quantum particles with binary interaction. These operators are eigenvectors of the operator $H$ of commutation with the Hamittonian $\Hat H$ of the system. The operator $\Hat H$ is expressed in terms of them quadratically.