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Two properties of electromagnetic knots

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dc.contributor.authorFernández-Rañada, Antonio
dc.date.accessioned2023-06-20T18:57:01Z
dc.date.available2023-06-20T18:57:01Z
dc.date.issued1997-07-21
dc.description© 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.
dc.description.abstractWe 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.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/24970
dc.identifier.doi10.1016/S0375-9601(97)00366-6
dc.identifier.issn0375-9601
dc.identifier.officialurlhttp://dx.doi.org/10.1016/S0375-9601(97)00366-6
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58981
dc.issue.number01-feb
dc.journal.titlePhysics Letters A
dc.language.isoeng
dc.page.final33
dc.page.initial25
dc.publisherElsevier
dc.rights.accessRightsrestricted access
dc.subject.cdu537
dc.subject.keywordElectromagnetic Field
dc.subject.keywordTopological Field
dc.subject.keywordKnot
dc.subject.keywordHelicity
dc.subject.keywordLink.
dc.subject.ucmElectricidad
dc.subject.ucmElectrónica (Física)
dc.subject.unesco2202.03 Electricidad
dc.titleTwo properties of electromagnetic knots
dc.typejournal article
dc.volume.number232
dcterms.references[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.
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