Noncanonical Hamiltonian formulation: toward gyrokinetics
I will review an article on a noncanonical Hamiltonian treatment of the
motion of a charged particle in electromagnetic fields, following R.G.
Littlejohn [J. Math. Phys. 20, 2445 (1979)]. Averaging techniques lead
to the equations of the so-called guiding center and to the gyrokinetics
equations used in plasma physics.