Summary
A condition for a vanishing electromagnetic self-stress is established, which also leads to a finite electromagnetic self-energy. Maxwell’s theory does not satisfy this requirement. A class of nonlinear theories, which includes that of Born and Infeld, satisfies the condition.
Riassunto
Si stabilisce una condizione per un autosforzo elettromagnetico che tende a zero; essa porta anche ad un’autoenergia elettromagnetica finita. La teoria di Maxwell non soddisfa questo requisite. Una classe di teorie non lineari, che comprende quella di Born e Infeld, soddisfa quest a condizione.
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References
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This work has been supported by the Deutsche Forschungsgemeinschaft and by the Bundesministerium für Bildung und Wissenschaft.
Fellow of the Alexander von Humboldt-Stiftung.
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Rafelski, J., Fulcher, L.P. & Greiner, W. A condition for vanishing electromagnetic self-stress in nonlinear classical electrodynamics. Nuov Cim B 7, 137–144 (1972). https://doi.org/10.1007/BF02827042
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DOI: https://doi.org/10.1007/BF02827042