Summary
A decomposition of the Maxwell stress-energy tensor into two terms is proposed corresponding to the decomposition of the electromagnetic force into radiative and nonradiative parts given by Dirac. This permits the nonradiative force to be expressed as the divergence of a nonradiative tensor. This tensor is added to the matter tensor to form the total or renormalized matter tensor.
Riassunto
Si propone una decomposizione in due termini del tensore sforzo-energia di Maxwell, corrispondente alla decomposizione, data da Dirac, della forza elettromagnetica in parte radiante e non radiante. Questo permette di esprimere la forza non radiante come la divergenza di un tensore non radiante. Questo tensore viene aggiunto al tensore della materia per formare il tensore della materia totale o rinormalizzato.
Резюме
Предлагается разложение максвелловского тензора натяжений на два члена, которое соответствует разложению электромагнитной силы на радиационную и нерадиационную части, полученные Дираком. Это позволяет выразить нерадиационную силу как расходимость нерадиационного тензора. Этот тензор добавляется к тензору среды, чтобы образовать полный или перенормированный тензор среды.
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References
P. A. M. Dirac:Proc. Roy. Soc., A167, 148 (1938).
See for exampleH. J. Bhabha andHarish-Chandra:Proc. Roy. Soc., A185, 250 (1944).
See for exampleF. Rohrlich:Classical Charged Particles, Sect. 6-4 (New York, 1965) for a discussion of the problem of self-acceleration in the Lorentz-Dirac model of the electron.
J. Madore:Compt. Rend. Acad. Sci.,263, 746 (1966).
A. Papapetrou:Ann. Inst. Henri Poincaré,1, 117 (1964).
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Arnous, E., Madore, J. & Papapetrou, A. Renormalization and the classical electromagnetic one-body problem for an extended body. Nuovo Cimento A (1965-1970) 53, 393–399 (1968). https://doi.org/10.1007/BF02800118
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DOI: https://doi.org/10.1007/BF02800118