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Hamiltonian Theory of the Guiding Centre motion revisited

par Weyssow, Boris ;Balescu, Radu
Référence Journal of Plasma Physics, 35, 3, page (449-471)
Publication Publié, 1986

Article révisé par les pairs

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Résumé :

The classical problem of the motion of a charged particle on a slowly varying electromagnetic field is reconsidered on the framework of ‘pseudo-canonical transformations’ in a Hamiltonian formalism. As compared with Littlejohn's important recent work, we develop a method which we believe to be more transparent. It consists, in essence, of exploiting directly the requirement that the Lie brackets of the guiding centre variables be independent of the (new) gyrophase. By using this method, we construct explicitly the complete set of functional relationships between the guiding centre variables and the particle variables, up to second order on the drift parameter e. These expressions are valid for magnetic and electric fields of arbitrary geometry (within the drift approximation), which may be slowly varying on time. © 1986, Cambridge University Press. All rights reserved.