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- W3100436905 abstract "In this paper we consider the classical relativistic motion of charged particles in a knotted electromagnetic field. After reviewing how to construct electromagnetic knots from maps between the three-sphere and the two-sphere, we introduce a mean quadratic radius of the energy density distribution in order to study some properties of this field. We study the classical relativistic motion of electrons in the electromagnetic field of the Hopf map, and compute their trajectories. It is observed that these electrons initially at rest are strongly accelerated by the electromagnetic force, becoming ultrarelativistic in a period of time that depends on the knot energy and size." @default.
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- W3100436905 date "2010-05-13" @default.
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- W3100436905 title "Motion of charged particles in a knotted electromagnetic field" @default.
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- W3100436905 doi "https://doi.org/10.1088/1751-8113/43/23/235401" @default.
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