  The hydrogen atom with the Coulomb interaction is one of the exactly solvable
non-relativistic quantum models. Unlike many other exactly solvable models it
describes a real physical object providing the formulas for energy levels and
stationary state wave functions of a real hydrogen atom. In this paper we
modify the model replacing the Coulomb interaction by the interaction of the
proton and the electron with the classical electromagnetic field serving as an
intermediary transmitting the electromagnetic interaction of these two charged
quantum particles.
