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A manifestly gauge-invariant Hamiltonian theory of the oscillation-centre dynamics

Published online by Cambridge University Press:  13 March 2009

B. Weyssow  and
R. Balescu
B. Weyssow
Affiliation:
Association Euratom-Etat Belge, Faculté des sciences CP 231, Campus Plaine, 1050 Bruxelles, Belgium
R. Balescu
Affiliation:
Association Euratom-Etat Belge, Faculté des sciences CP 231, Campus Plaine, 1050 Bruxelles, Belgium
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Abstract

The theory of the slow reaction of charged particles in the presence of a high-frequency electromagnetic field (oscillation-centre motion) is developed by using a Hamiltonian formalism with non-canonical variables and pseudo-canonical transformations. The flexibility introduced by the latter features allows us to construct a theory which is manifestly gauge-invariant and involves only physical concepts (electromagnetic fields and particle velocities instead of potentials and canonical momenta). A complete description of the oscillation-centre dynamics is derived. The known expressions of the ponderomotive force are derived as special cases of our theory.

Type
Research Article
Information
Journal of Plasma Physics , Volume 37 , Issue 3 , June 1987 , pp. 467 - 486
Copyright
Copyright © Cambridge University Press 1987

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