The Hamiltonian formalism in the drift theory of charged particle motion in a magnetic field

Details The Hamiltonian formalism in the drift theory of charged particle motion in a magnetic field The Hamiltonian formalism in the drift theory of charged particle motion in a magnetic field

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992kfnt....8...14n&link_type=abstract

Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 8, no. 6, p. 14-31.

Physics

Charged Particles, Drift, Hamiltonian Functions, Magnetic Fields, Particle Motion, Wave-Particle Interactions, Coordinate Transformations, Particle Trajectories, Spherical Coordinates

Scientific paper

Charged particle motion in electromagnetic fields in a drift approximation is considered. The non-Cartesian coordinates were introduced by canonical transformations. These coordinates correspond to a magnetic field configuration represented by the Euler potentials. The normalization of the Hamiltonian and transformation to the action-angle variables are made. The drift Hamiltonian describing particle guiding center motion in the second-order approximation is obtained. Particle motion in a dipole field is considered.

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