RT Journal Article T1 Two properties of electromagnetic knots A1 Fernández-Rañada, Antonio AB 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. PB Elsevier SN 0375-9601 YR 1997 FD 1997-07-21 LK https://hdl.handle.net/20.500.14352/58981 UL https://hdl.handle.net/20.500.14352/58981 LA eng NO [1] A.F. Rañada, J. Phys. A, 23 (1990), L815.[2] A.F. Rañada, J. Fhys. A, 25 (1992), 1621.[3] A.F. Rañada, J.L. Trueba, Phys. Lett. A, 202 (1995), 337.[4] A.F. Rañada, J.L. Trueba, Nature, 383 (1996), 32.[5] A.F. Rañada, in: Solitons and Applications, eds. V.G. Makhankov, V.K. Fedyanin and O.K. Pashaev (World Scientific, Singapore, 1990).[6] H.K. Moffatt, J. Fluid Mech., 35 (1969), 117.[7] A.F. Rañada, Eur. J. Phys., 13 (1992), 70.[8] G.E. Marsh, Force-Free Magnetic Fields (World Scientific, Singapore, 1996).[9] H. Hopf, Math. Ann., 104 (1931), 637.[10] R. Bott and L.W. Tu, Differential Forms in Algebraic Topology, (Springer, New York, 1982).[11] A.M. Kamchatnov, Zh. Eksp. Teor. Fiz., 82 (1982), 117[Sov. Phys. JETP, 55 (1982), 69].[12] G. Darboux, Bull. Sci. Math., (2), 6 (1982), 14.[13] S. Fritelli, S. Koshti, E. Newman and C. Rovelli, Phys. Rev. D, 49 (1994), 6883.[14] J.L. Trueba and A.F. Rañada, Eur. J. Phys., 17 (1996), 141.[15] A.F. Rañada, in: Fundamental Problems in Quantum Physics, eds. M. Ferrero and A. van der Merwe (Kluwer, Dordrecht, 1995).[16] G.N. Afanasiev and Yu. P. Stepanovsky, Nuovo Cimento A, 109 (1996), 271. NO © 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. DS Docta Complutense RD 5 dic 2023