Generalized canonical approach to gyrokinetic theory

Details Generalized canonical approach to gyrokinetic theory Generalized canonical approach to gyrokinetic theory

2004-06-17

arxiv.org/abs/math-ph/0406034v1

Physics

Mathematical Physics

16 pages, no figure

Scientific paper

We face the well-known gyrokinetic problem, which arises in the description of the dynamics of a charged particle subject to fast gyration for the presence of a strong electromagnetic field. The customary approach to gyrokinetic theory, using canonical variables or identifying them ``a posteriori'' by means of Darboux theorem, leads to potential complications and ambiguities due to the fact that canonical coordinates are field-related. Here we propose an innovative formulation to construct gyrokinetic canonical variables based on the introduction of a new definition of canonical transformation. The new approach permits to shed light on this often controversial issue.

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