Abstract
IN both theories referred to in earlier communications1, a free spin-particle travels in a suitably chosen frame of reference along a small circle. The point-charge of an electron revolving on a circle the diameter of which is of the order, where me is mass of an where electron, with the enormous frequency of Schrödinger's Zitterbewegung, would radiate according to the laws of classical electrodynamics with a very high intensity. It is true that a classical model cannot be expected to give a fair account of the radiation emitted by an electron, but such a large radiation without counterpart in Nature would render any correspondence between the classical and the quantum-mechanical behaviour of an electron impossible. I noted in 19382 that the situation changes radically if one takes into account not only the charge of an electron but also its magnetic moment. Under suitable conditions, the radiation due to the revolving magnetic dipole (perpendicular to the plane of the circle) may cancel, approximately at least, the radiation emitted by the revolving point-charge. The argument presented in 1938 was carried through in non-relativistic approximation only, but it can be applied in the general case also, if we interpret all the quantities involved as referring to the rest-system of the circle'.
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References
Weyssenhoff, J. W., Nature, 157, 766 (1946).
Weyssenhoff, J. W., Nature, 141, 328 (1938).
Weyssenhoff, J. W., Nature, in the press.
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WEYSSENHOFF, J. A Non-radiating Motion of a Spinning Electron. Nature 157, 809 (1946). https://doi.org/10.1038/157809b0
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DOI: https://doi.org/10.1038/157809b0
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