Canonical coordinates for guiding center particles
James D. Meiss, R. D. Hazeltine
Abstract
James D. Meiss, R. D. Hazeltine
Abstract
Canonical coordinates are obtained for the guiding center Hamiltonian up to a quadrature. The configuration variables are two angles, and the canonical momenta are angular momenta. These coordinates are valid for arbitrary magnetic fields including nonaxisymmetric ones whose field lines may be chaotic. Examples of application of canonical coordinates to tokamak geometry are given.
OpenAlex reports 51 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Canonical coordinates are obtained for the guiding center Hamiltonian up to a quadrature. The configuration variables are two angles, and the canonical momenta are angular momenta. These coordinates are valid for arbitrary magnetic fields including nonaxisymmetric ones whose field lines may be chaotic. Examples of application of canonical coordinates to tokamak geometry are given.
Key concepts: Canonical coordinates, Action-angle coordinates, Prolate spheroidal coordinates, Orthogonal coordinates, Log-polar coordinates, Generalized coordinates, Physics, Hamiltonian (control theory)