Abstract: | Using the well-known Kepler's problem, an attempt is made to demonstrate a procedure for constructing a nonrelativistic approximation
of a quantum-mechanical model for steady states of hydrogen atoms in the K-field formalism. In this model, an electron is
assumed to possess an intrinsic moment (spin) which, according to Frenkel, is comparable to the magnetic moment. It is shown
that Lyapunov-stable trajectories of the K-particle (a test point particle representing the classical model of an electron
in an atom) correspond to the conventional steady states of hydrogen atoms, with the trajectories being similar to those in
the spin-zero particle model. The proposed model of the electronic structure in a hydrogen atom provides an insight into the
physical cause of the atomic superfine structure and the physical meaning of the constant α=c/mc.
Tomsk Polytechnical University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 50–54, October,
1999. |