2004/06/17 by Piero Nicolini, Nicolini, Piero, Massimo Tessarotto +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #History and Theory of Mathematics #Mathematical Physics (math-ph) #Mathematics and Applications #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0406034
16 pages, no figure
arxiv created 2004/06/17 · openalex publication_date 2004/06/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.