INTERACTION OF A CHARGED 3D SOLITON WITH A COULOMB CENTER

The Einstein-de Broglie particle-soliton concept is applied to simulat e stationary states of an electron in a hydrogen atom. According to th is concept, the electron is described by the localized regular solutio ns to some nonlinear equations. In the framework of the Synge model fo r interacting scalar and electromagnetic fields a system of integral e quations has been obtained, which describes the interaction between a charged 3D soliton and a Coulomb center, The asymptotic expressions fo r physical fields, describing a soliton moving around the fixed Coulom b center, have been obtained with the help of integral equations. It i s shown that the electron-soliton center travels along some stationary orbit around the Coulomb center. The electromagnetic radiation is abs ent as the Poynting vector has a nonwave asymptote O(r(-3)) after aver aging over angles, i.e. the existence of a spherical surface correspon ding to a null Poynting vector stream has been proved. The vector line s for the Poynting vector are constructed in an asymptotical area.