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A model of topological quantization of the electromagnetic field

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Fernández-Rañada, Antonio (1995) A model of topological quantization of the electromagnetic field. In Fundamental Problems in Quantum Physics. Fundamental Theories of Physics (73). Kluwer Academic Publ., pp. 267-277. ISBN 0-7923-3670-4

Official URL: http://dx.doi.org/10.1007/978-94-015-8529-3_26


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Abstract

A recently proposed topological model of the electromagnetic field is described, which is based in the existence of electromagnetic knots, standard solutions of the Maxwell equations, characterized by the linking numbers n and m of the electric and magnetic vectors, the magnetic and electric helicities having the values h_(mag) = 2nћ, h_(e)l = 2mћ. The model coincides locally with the classical Maxwell standard theory, but it is globally nonequivalent because its topological properties imply what is called a hidden nonlinearity: the fields span only a nonlinear subset of the solutions of a linear equation. Two consequences of the topological structure are important: the classical expression for the difference between the numbers of right handed and left handed photons is equal to n + m, having thus a topological interpretation, and the electric charge is quantized, the fundamental value being close to 14/3 times de electron charge.


Item Type:Book Section
Additional Information:

International Symposium on Fundamental Problems in Quantum Physics (1993. Oviedo). © 1995 Kluwer Academic Publishers.

Uncontrolled Keywords:Topological Quantization, Electromagnetic Fields, Knots.
Subjects:Sciences > Physics > Electricity
Sciences > Physics > Electronics
ID Code:24975
Deposited On:08 Apr 2014 10:46
Last Modified:10 Dec 2018 14:58

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