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Self-dual electromagnetic fields
1.A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Yu. S. Tyupkin, “Pseudoparticle solutions of the Yang–Mills equations,” Phys. Lett. B 59, 85–87 (1975).http://dx.doi.org/10.1016/0370-2693(75)90163-X
2.A. E. Chubykalo and A. Espinoza, “Unusual formations of the free electromagnetic field in vacuum,” J. Phys. A 35, 8043–8053 (2002).http://dx.doi.org/10.1088/0305-4470/35/38/307
3.B. Kosyakov, Introduction to the Classical Theory of Particles and Fields (Springer, Heidelberg, 2007).
4.P. L. Kapitza, “On the nature of ball lightning,” Dokl. Akad. Nauk SSSR 101, 245–248 (1955) (in Russian).
5.M. Stenhoff, Ball Lightning: An Unsolved Problem in Atmospheric Physics (Kluwer, New York, 1999).
6.This conjectured steady-state condition for the field configuration is in the same spirit as that proposed by Kapitza (Ref. 4) as an essential prerequisite to ball lightning formation. Interested readers might find Ref. 5 to be a useful guide to ball lightning with an extensive bibliography of about 2400 references.
7.C. Chu and T. Ohkawa, “Transverse electromagnetic waves with ,” Phys. Rev. Lett. 48, 837–838 (1982).http://dx.doi.org/10.1103/PhysRevLett.48.837
8.J. B. Taylor, “Relaxation and magnetic reconnection in plasmas,” Rev. Mod. Phys. 58, 741–763 (1986).http://dx.doi.org/10.1103/RevModPhys.58.741
9.L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1963).
10.The expert reader will recognize that the free particle wave function with a definite angular orbital momentum, whose radial part obeys Eq. (35), is a non-normalizable solution to the free particle Schrödinger equation, which is another way of stating that the standing wave (38) is characterized by infinite energy. Motivated by the rigorous treatment of scattering problems in which normalizable wave packets are taken from the outset, we should construct a physically achievable, localized field configuration carrying a range of 's by summing over different quasilocalized modes that are exact solutions to Eq. (18).
A snapshot of the field configuration given by Eq. (24).
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