Charged-Particle Motion in Electromagnetic Fields Having at Least One Ignorable Spatial Coordinate

Details Charged-Particle Motion in Electromagnetic Fields Having at Least One Ignorable Spatial Coordinate Charged-Particle Motion in Electromagnetic Fields Having at Least One Ignorable Spatial Coordinate

1998-08-11

arxiv.org/abs/astro-ph/9808103v1

Astronomy and Astrophysics

Astrophysics

7 pages, emulateapj format, including 1 eps figure, to appear in The Astrophysical Journal, Dec. 10 1998 issue

Scientific paper

10.1086/306480

We give a rigorous derivation of a theorem showing that charged particles in an arbitrary electromagnetic field with at least one ignorable spatial coordinate remain forever tied to a given magnetic-field line. Such a situation contrasts the significant motions normal to the magnetic field that are expected in most real three-dimensional systems. It is pointed out that, while the significance of the theorem has not been widely appreciated, it has important consequences for a number of problems and is of particular relevance for the acceleration of cosmic rays by shocks.

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