THE GUIDING CENTER APPROXIMATION IN LOWEST ORDER,
CALIFORNIA UNIV LOS ANGELES PLASMA PHYSICS GROUP
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The report is concerned with a simple and direct derivation of the equations governing the motion of a charged particle in space and time dependent electric and magnetic fields in the so-called guiding center approximation. Attention is given exclusively to results in lowest order in an expansion in reciprocal powers of the cyclotron frequency. As is well known, results to lowest order are the most frequently employed for practical as well as for didactic reasons. Yet, to the authors knowledge, there appear to be no elementary derivations of these results, which are at once general and comprehensive, but which do not employ the complicated machinery of the formal asymptotic expansions of Bogolyubov and Zubarev and of Kruskal.
- Theoretical Mathematics
- Electricity and Magnetism
- Nuclear Physics and Elementary Particle Physics