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Relativity and the electric dipole moment of a moving, conducting, magnetized sphere
1.M. Wilson and H. A. Wilson, “On the electric effect of rotating a magnetic insulator in a magnetic field,” Proc. R. Soc. London Ser. A 89, 99–106 (1913).
2.A. Einstein and J. Laub, “Über die elektromagnetischen Grundgleichungen für bewegte Körper,” Ann. Phys. (Leipzig) 26, 532–540 (1908).
3.E. G. Cullwick, Electromagnetism and Relativity (Longman, London, 1957) Chap. 11.8, p. 166.
4.Karin Sangster, E. A. Hinds, Stephen M. Barnett, Erling Riis, and A. G. Sinclair, “Aharonov-Casher phase in an atomic system,” Phys. Rev. A 51, 1776–1786 (1995). We thank Professor Larry Hunter of Amherst College for bringing this paper to our attention.
5.G. N. Pellegini and A. R. Swift, “Maxwell’s equations in a rotating medium: Is there a problem?” Am. J. Phys. 63, 694–705 (1995).
6.Several papers are critical of the treatment of rotating systems given in Ref. 5. See T. A. Weber, “Measurements on a rotating frame in relativity and the Wilson and Wilson experiment,” Am. J. Phys. 65, 946–953 (1997);
6.M. L. Burrows, “Comment on Maxwell’s equations in a rotating medium: Is there a problem?” Am. J. Phys. 65, 929–931 (1997);
6.Charles T. Ridgely, “Applying relativistic electrodynamics to a rotating material medium,” Am. J. Phys. 66, 114–121 (1998).
7.J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), Sec. 5.10, p. 194.
8.Ibid, p. 151. The calculation described here is for electric fields and moments, but the same method may be applied in the magnetic case.
9.W. K. H. Panofsky and M. Philips, Classical Electricity and Magnetism (Addison–Wesley, Reading, MA, 1955), p. 340.
10.L. I. Schiff, “A question in general relativity,” Proc. Natl. Acad. Sci. USA 25, 391–395 (1939).
11.D. L. Webster, “Schiff’s charges and currents in rotating matter,” Am. J. Phys. 31, 590–597 (1963).
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