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

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© 1998. The American Astronomical Society. All rights reserved. Printed in U.S.A.
, , Citation Frank C. Jones et al 1998 ApJ 509 238 DOI 10.1086/306480

0004-637X/509/1/238

Abstract

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 with 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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10.1086/306480