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We develop an approximate second quantization method for describing themany-particle systems in the presence of bound states of particles at lowenergies (the kinetic energy of particles is small in comparison to the bindingenergy of compound particles). In this approximation the compound andelementary particles are considered on an equal basis. This means that creationand annihilation operators of compound particles can be introduced. TheHamiltonians, which specify the interactions between compound and elementaryparticles and between compound particles themselves are found in terms of theinteraction amplitudes for elementary particles. The nonrelativistic quantumelectrodynamics is developed for systems containing both elementary andcompound particles. Some applications of this theory are considered.Comment: 35 page

Second quantization method in the presence of bound states of particles