[en] The consistent theory is developed for a calculation of a potential of the interaction of a deuteron with Coulomb field of nucleus. Its characteristics at large distances is studied. The explicit form for the deuteron-nucleus interaction at the deuteron break-up threshold is given. In the limit of a small energy for relative deuteron-nucleus motion a simple potential containing off the energy shell effects is derived and the physical nature of its constants are explained. The accuracy of a transition to polarization interaction is established. A new formula for the calculation of electric dipole polarizability for two-particle system is got. (orig.)