What is it about?

The origins of the electron mass and spin are long standing problems in classical and modern physics. If the mass of the electron is totally due to electromagnetic origin, then the classical radius of the electron will be the order of 10^-15m. However, if we wish to get the spin value based on that hypothesis, the rotational speed of the electron surface would be more than one hundred times of the speed of light, which is obviously unreasonable. In order to describe the electron spin motion at the level of quantum mechanics, we must get a spin wave function, just as the orbital wave function for the motion of the electron around the nucleus. Suppose the rest energy of the electron originates from the kinetic energy of the virtual electron-position pairs around the bare point charge and the virtual photons which constitute the electromagnetic energy, the electron spin motion equation and spin wave function can be derived. As the mass and charge distributions inside the electron are different, we use two quantum numbers 1/2 and 1 to describe them respectively.

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Why is it important?

The electron has long been regarded as a point particle. But point particle model leads to infinite self-energy and cannot derive the correct spin magnetic moment. In this paper, the electron radius is supposed to be one reduced Compton wavelength, and its internal structure is explored. Then the spin wave function is derived. In addition, we explain the origin of anomalous magnetic moment in a classical and easily understood manner. Finally, we propose a simple method to eliminate the divergence of self-energy in quantum field theory

Perspectives

I think this paper will help us understand the internal structure of electron and the origins of its mass and spin. The method also applies to that of quark. If the hypotheses in the paper are correct, then the electron and quark are the deepest levels of microscopic particles and there will be no sub-structure for them.

Mr. Hai-Long Zhao

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This page is a summary of: Quantum mechanical calculation of electron spin, Open Physics, November 2017, De Gruyter,
DOI: 10.1515/phys-2017-0076.
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