Bhabha, H. J. (1940) Classical theory of spinning particles Proceedings of the Indian Academy of Sciences, Section A, 11 (4). pp. 247267. ISSN 03700089

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Official URL: http://www.ias.ac.in/j_archive/proca/11/4/247267/...
Related URL: http://dx.doi.org/10.1007/BF03051342
Abstract
The exact relativistic classical equations taking radiation reaction into account for the rotation and translation of apoint dipole are given for the case where the dipole is always a pure magnetic dipole in the rest system. These equations are entirely free from any singularities. It is shown that the mass M, angular momentum of the spin I and magnetic moment g2 are three entirely independent constants with no connection between them. The crosssection for the scattering of light by a dipole is given by formula (56). This formula shows that due to radiation reaction the scattering actually decreases as ω^{2} for very high frequencies ω, instead of increasing as ω^{2} when radiation reaction is neglected. The quantum mechanical formula for the scattering of neutral mesons by neutrons is shown to go wrong at energies h ω ≥ 3 μ due to neglect of the effects of radiation damping. The classical formula (56) can still be correctly applied in the range 3μ <h ω < M, where the quantum formula is wrong, M being the neutron mass. Finally reasons are given for thinking that the quantum theory of the electron fails at energies above about √3 × 137m due to neglect of the effect of radiation damping on the spin, and the quantum theory of the meson and its interaction with the electromagnetic field at √6 × 137µ.
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Deposited On:  07 Oct 2010 09:28 
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