TITLE:
Electron Spin and Proton Spin in the Hydrogen and Hydrogen-Like Atomic Systems
AUTHORS:
Stanisław Olszewski
KEYWORDS:
Spin Effect and Its Semiclassical Quantization, Electron and Proton Elementary Particles, Electron Drift in the Hydrogen Atom, Separation of the Doublet Spectral Lines
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.18,
December
10,
2014
ABSTRACT: The
mechanical angular momentum and magnetic moment of the electron and proton spin
have been calculated semiclassically with the aid of the uncertainty principle
for energy and time. The spin effects of both kinds of the elementary particles
can be expressed in terms of similar formulae. The quantization of the spin
motion has been done on the basis of the old quantum theory. It gives a quantum
number n = 1/2 as the index of the
spin state acceptable for both the electron and proton particle. In effect of
the spin existence the electron motion in the hydrogen atom can be represented
as a drift motion accomplished in a combined electric and magnetic field. More
than 18,000 spin oscillations accompany one drift circulation performed along
the lowest orbit of the Bohr atom. The semiclassical theory developed in the
paper has been applied to calculate the doublet separation of the
experimentally well-examined D line
entering the spectrum of the sodium atom. This separation is found to be much
similar to that obtained according to the relativistic old quantum theory.