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Themechanical angular momentum and magnetic moment of the electron and proton spinhave been calculated semiclassically with the aid of the uncertainty principlefor energy and time. The spin effects of both kinds of the elementary particlescan be expressed in terms of similar formulae. The quantization of the spinmotion has been done on the basis of the old quantum theory. It gives a quantumnumber n = 1-2 as the index of thespin state acceptable for both the electron and proton particle. In effect ofthe spin existence the electron motion in the hydrogen atom can be representedas a drift motion accomplished in a combined electric and magnetic field. Morethan 18,000 spin oscillations accompany one drift circulation performed alongthe lowest orbit of the Bohr atom. The semiclassical theory developed in thepaper has been applied to calculate the doublet separation of theexperimentally well-examined D lineentering the spectrum of the sodium atom. This separation is found to be muchsimilar to that obtained according to the relativistic old quantum theory.

KEYWORDS

Spin Effect and Its Semiclassical Quantization, Electron and Proton Elementary Particles, Electron Drift in the Hydrogen Atom, Separation of the Doublet Spectral Lines

Cite this paper

Olszewski, S. 2014 Electron Spin and Proton Spin in the Hydrogen and Hydrogen-Like Atomic Systems. Journal of Modern Physics, 5, 2030-2040. doi: 10.4236-jmp.2014.518199.





Author: Stanisław Olszewski*

Source: http://www.scirp.org/



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