1990Physics of Fluids B Plasma PhysicsRequires access

Canonical coordinates for guiding center particles

James D. Meiss, R. D. Hazeltine

Open publisher page 51 citations

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.

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What this paper is about

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.

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Available 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.

Key concepts: Canonical coordinates, Action-angle coordinates, Prolate spheroidal coordinates, Orthogonal coordinates, Log-polar coordinates, Generalized coordinates, Physics, Hamiltonian (control theory)

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