arXiv:atom-ph/9603004v1 21 Mar 1996 INTERACTION OF CHARGED 3D SOLITON WITH COULOMB CENTER Yu. P. RYBAKOV Department of Theoretical Physics Russian Peoples’ Friendship University 6, Miklukho-Maklay str., 117198 Moscow, Russia e-mail: rybakov@udn.msk.su B. SAHA Laboratory of Theoretical Physics Joint Institute for Nuclear Research, Dubna 141980 Dubna, Moscow region, Russia e-mail: saha@thsun1.jinr.dubna.su The Einstein - de Broglie particle-soliton concept is applied to simulate stationary states of an electron in a hydrogen atom. According to this concept, the electron is described by the localized regular solutions to some nonlinear equations. In the framework of Synge model for interacting scalar and electromagnetic fields a system of integral equations has been obtained, which describes the interaction between charged 3D soliton and Coulomb center. The asymptotic expressions for physical fields, describing soliton moving around the fixed Coulomb center, have been obtained with the help of integral equations. It is shown that the electron-soliton center travels along some stationary orbit around the Coulomb center. The electromagnetic radiation is absent as the Poynting vector has non- wave asymptote O(r −3 ) after averaging over angles, i.e. the existence of spherical surface corresponding to null Poynting vector stream, has been proved. Vector lines for Poynting vector are constructed in asymptotical area. Key words: soliton, nonlinear resonance, wave-particle dualism, theory of double solu- tion, electromagnetic radiation, stationary orbit