Publication: Two properties of electromagnetic knots
Loading...
Official URL
Full text at PDC
Publication Date
1997-07-21
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Citations
Exportar
Abstract
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.
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.
UCM subjects
Unesco subjects
Keywords
Citation
[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.