Geometrical approach to the atomic spectra theory. The helium atom

Abstract

New equations for helium spectra calculations are obtained within geometrical interpretation of quantum mechanics suggested by the author earlier. The main idea of the above interpretation is that atoms can be considered not as the systems with many electrons but as a microscopic topological defect of the physical space-time without any point-like particles inside. The groups of symmetry transformations of such defects are suggested to be isomorphic to the symmetry groups of atoms with many identical electrons (permutation group, for example). New equations were derived within approximation that is similar to the one in the self consistent field theory of Hartree-Fok, but these equations differ strongly from Hartree-Fock equations. Numerical calculations of ionization potentials for para—and orto—helium lead to results that are in a good agreement with experiment.