Radiation Spectrum of the Hydrogen Atom with the Account of Motion of Its Electron in the Extra Space

Abstract

A multidimensional interpretation of the emission spectrum of a hydrogen atom for the circular orbits of its electron is given. It is shown that the discreteness of the radiation frequencies and the angular momentum of an electron for quasi-Bohr orbits are due to the periodicity of the motion, both in the projection to the observed three-dimensional space, permitting motion by inertia, and on additional space. The fine structure constant is represented as a simple function of the ratio of the radii of the orbits in the complementary and observed subspaces of the total space. The balance of forces acting on an electron in the corresponding subspaces allows one to find the electron Hamiltonian in orbits, the work of exit of the electron from an atom, and the emission spectrum of the atom.