Hamiltonian theory of guiding-center motion

Technical Report · Thu May 01 00:00:00 EDT 1980

DOI:https://doi.org/10.2172/6180103· OSTI ID:6180103

Littlejohn, R G

A Hamiltonian treatment of the guiding center problem is given which employs noncanonical coordinates in phase space. Separation of the unperturbed system from the perturbation is achieved by using a coordinate transformation suggested by a theorem of Darboux. As a model to illustrate the method, motion in the magnetic field B=B(x,y)z is studied. Lie transforms are used to carry out the perturbation expansion.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6180103
• Report Number(s): LBL-12942; ON: DE81027401; TRN: 81-014725
• Resource Relation: Other Information: Thesis
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
GUIDING-CENTER APPROXIMATION
HAMILTONIAN FUNCTION
HAMILTONIANS
PERTURBATION THEORY
POISSON EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)