Publication: Electromagnetic Knots
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Publication Date
1995-07-03
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Elsevier
Abstract
We consider electromagnetic knots, defined as standard classical electromagnetic waves in empty space, characterized by two integers n(m) and n(e), such that all the force lines are closed and any pair of magnetic (electric) lines are linked with linking number n(m) (n(e)). Some of their properties are studied.
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© Elsevier Science BV. We are grateful to A. Ibort, G. Marmo, J.M. Montesinos and M. Soler for discussions.
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[1] A.F. Rañada, J. Phys. A, 23, ( 1990) L815.
[2] A.F. Rañada, in: Solitons and applications, eds. V.G. Makhankov, V.K. Fedyanin and O.K. Pashaev (World Scientific, Singapore, 1990), p. 180.
[3] A.F. Rañada, J. Phys. A, 25, ( 1992), 1621.
[4] H. Hopf, Math. Ann., 104, (1931), 637.
[5] R. Bott and L.W. Tu, Diferential forms in algebraic topology, (Springer, Berlin, 1982).
[6] H.K. Moffatt, Philos. Trans. R. Soc. A, 333, (1990) 321.
[7] A.F. Rañada, Eur. J. Phys., 13, ( 1992) 70, and references therein.
[8] H.K. Moffatt, J. Fluid. Mech., 35, ( 1969), 117.
[9] L. Woltjer, Proc. Natl. Acad. Sci. USA, 44, (1958), 489.
[10] J.B. Taylor, Rev. Mod. Phys., 58, ( 1986), 741.
[11] R.L. Stenzel, J.M. Urrutia and C.L. Rousculp, Phys. Rev. Lett., 74, ( 1995), 702.
[12] A.F. Rañada, Lett. Math. Phys, 18, (1989), 97.
[13] A.F. Rañada, An. Fis. (Madrid), A 87, (1991), 55.
[14] A.F. Rañada, in: Proc. Int. Symp. on Fundamental problems in quantum physics, Oviedo, September 1993, eds. M. Ferrero and A. van der Merwe (Kluwer, Dordrecht, 1995).