Applying relativistic electrodynamics to a rotating material medium

American Journal of Physics

Volumn 66, Issue 2, 1998, Pages 114-121

  Ridgely, Charles T ^a  

^a CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032347624     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18828     Document Type: Article

References (24)

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17. αβ. So long as one is consistent throughout the analysis, either the covariant or contravariant convention may be used.
18. Here, we have referred to D and H as the electric and magnetic fields in matter; however, D and H are actually well defined both inside and outside of matter, as are the true electric and magnetic fields, E and B. Since the fields D and H are simply useful in calculating E and B when matter is present, to avoid confusion, we will refer to E and B as fundamental fields, and to D and H as auxiliary fields.
19. αβ), where g is the determinant of the metric tensor. In rotating coordinates √-g=1; and as a result, the covariant derivative is exactly equal to the ordinary partial derivative.
20. Here, as in the case of the electromagnetic tensor, we have made a choice to work with the covariant form of the magnetization four-tensor.
21. C. Ridgely, "The electrodynamics of a rotating material medium," M.S. thesis, California State University, Long Beach, 1996, p. 30.
22. Since the rotating cylinder is cylindrically symmetric, in anticipation of the Wilsons' experimental result, we make the assumption that the electric field is directed entirely in the radial direction.
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