Poisson brackets for guiding-centre and gyrocentre theories
Abstract
Poisson brackets in the phase space of averaging Kruskal coordinates are obtained in a clear and straightforward way. The derivation makes use of the equations of motion of guiding centres and gyrocentres derived from a gyroangle-independent Lagrangian, and from generally valid relations of Hamiltonian mechanics. The usual procedure of matrix inversion to obtain the Poisson tensor from the Lagrange tensor is not required.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- February 2005
- DOI:
- 10.1017/S0022377804002910
- Bibcode:
- 2005JPlPh..71....1C