D M Fradkin 1978 J. Phys. A: Math. Gen. 11 1069 doi:10.1088/0305-4470/11/6/010
D M Fradkin
Show affiliationsFor non-null electromagnetic fields, a pair of covariant field projection operators is obtained which separate four-space into mutually orthogonal two-flats spanned by the field eigenvectors associated, respectively, with real or imaginary eigenvalues. In appropriate limits, these projections generalise the notion of components perpendicular to and parallel with a particular E or B direction. These operators are used in a relativistic covariant analysis of the motion of a charged particle subject to a constant electromagnetic field. The covariant projections of the motion are uncoupled and separate orbit equations for each projection are presented. This analysis is related to a generalisation of the guiding centre concept. A covariant guiding centre treatment is developed and applied to the situation where slowly changing field inhomogeneities exist.
Issue 6 (June 1978)
D M Fradkin 1978 J. Phys. A: Math. Gen. 11 1069
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