Relativistic ponderomotive Hamiltonian

Journal Article · Wed Aug 01 00:00:00 EDT 1984 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.864855· OSTI ID:6565855

Grebogi, C; Littlejohn, R G

The relativistic ponderomotive Hamiltonian is derived under as general conditions as possible. Arbitrary krho, E/sub parallel//E/sub perpendicular/, ..omega../..cap omega.., v/c<1, wave polarization, spatial modulation of the wave, and nonuniformities in the background electric and magnetic fields are introduced in a systematic way. This calculation is a modification of guiding center theory, because in addition to averaging over gyration, there is also an averaging over rapid oscillations of the wave. Therefore, as a by-product of our objective, a new formulation of the relativistic guiding center motion is derived.

• Research Organization: Laboratory for Plasma and Fusion Energy Studies and Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6565855
• Journal Information: Phys. Fluids; (United States), Vol. 27:8
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
GUIDING-CENTER APPROXIMATION
MODIFICATIONS
HAMILTONIANS
HOT PLASMA
ELECTRIC POTENTIAL
LARMOR RADIUS
NONLINEAR PROBLEMS
BOLTZMANN-VLASOV EQUATION
ECR HEATING
ELECTRIC CHARGES
ELECTRIC CURRENTS
ELECTROMAGNETIC RADIATION
ELMO BUMPY TORUS
FREE ELECTRON LASERS
GAUGE INVARIANCE
LASER-PRODUCED PLASMA
LIE GROUPS
MAGNETIC FIELDS
MODULATION
MOTION
OSCILLATIONS
PARTICLES
POISSON EQUATION
POLARIZATION
RELATIVISTIC RANGE
STABILIZATION
TMX DEVICES
TRANSFORMATIONS
BUMPY TORI
CURRENTS
DIFFERENTIAL EQUATIONS
ELMO DEVICES
ENERGY RANGE
EQUATIONS
HEATING
HIGH-FREQUENCY HEATING
INVARIANCE PRINCIPLES
LASERS
MAGNETIC MIRRORS
MATHEMATICAL OPERATORS
OPEN PLASMA DEVICES
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA HEATING
QUANTUM OPERATORS
RADIATIONS
SYMMETRY GROUPS
TANDEM MIRRORS
THERMONUCLEAR DEVICES
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