The multiple form of quantum electrodynamics containing the interaction eq-vectorxE-vector is discussed. Its hamiltonian has a divergent operator term. The available treatment of the trouble seems unsatisfactory. A potential-like nature of the term is ascertained using a regularization. A generalization of the multipole form is suggested in which the term divergency is reduced. It is shown that the obtained interaction with photons is still equal to eq-vectorxE-vector in the dipole approximation, and interatomic Coulomb interactions are absent. 11 refs.