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Two properties of electromagnetic knots

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Fernández-Rañada, Antonio (1997) Two properties of electromagnetic knots. Physics Letters A, 232 (01-feb). pp. 25-33. ISSN 0375-9601

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Official URL: http://dx.doi.org/10.1016/S0375-9601(97)00366-6


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Abstract

We prove two properties of the electromagnetic knots in empty space. First, that any standard radiation fields (i.e. satisfying E . B = 0) coincide locally with an electromagnetic knot. Second, that the electric and magnetic helicities of any knot are equal. These results can be used as a basis for a topological model of electromagnetism.


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© 1997 Elsevier Science BV. We are grateful to Professors M.V. Berry, A. Dobado, A. Ibort, E. López, J.M. Montesinos, M. Soler and J.L. Vicent for discussions and encouragement and to Professor A. Tiemblo for hospitality to A.F.R. at the Instituto de Matemáticas y Física Fundamental, CSIC, Madrid.

Uncontrolled Keywords:Electromagnetic Field, Topological Field, Knot, Helicity, Link.
Subjects:Sciences > Physics > Electricity
Sciences > Physics > Electronics
ID Code:24970
Deposited On:07 Apr 2014 12:28
Last Modified:10 Dec 2018 14:58

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