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ADIABATIC CHARGED-PARTICLE MOTION

Journal Article · · Rev. Geophys
The adiabatic theory of charged-particle motion is developed systematically. The essentials of the theory are presented without analysis in detail. The general expressions for guiding-center motion and particle energy change are given, with application to the Van Allen radiation and to Fermi acceleration. It is shown that Fermi acceleration and betatron should not be regarded as distinct processes. Modifications of the nonrelativistic theory that are necessary when the particle is relativistic are discussed. Proofs are given of the invariance to lowest order of the first and second adiabatic invariants for the case of static fields. Applications are made to the theory of plasmas. (auth)
Research Organization:
Univ. of California, Berkeley
Sponsoring Organization:
USDOE
NSA Number:
NSA-18-006356
OSTI ID:
4122065
Report Number(s):
UCRL-10750
Journal Information:
Rev. Geophys, Journal Name: Rev. Geophys Vol. Vol: 1
Country of Publication:
United States
Language:
English

References (18)

East-west asymmetry in the flux of mirroring geomagnetically trapped protons journal April 1963
Theory of Origin of Cosmic Rays journal January 1954
Equations of Motion for an Ideal Plasma. journal September 1952
Helmholtz Instability of a Plasma journal September 1956
Galactic Magnetic Fields and the Origin of Cosmic Radiation. journal January 1954
Origin and Dynamics of Cosmic Rays journal February 1958
Über die Bewegung geladener Teilchen in schwach veränderlichen Magnetfeldern journal July 1955
The relativistic motion of a charged particle in an inhomogeneous electromagnetic field journal July 1960
On the asymptotic series expansion of the motion of a charged particle in slowly varying fields journal August 1959
Stability of plasmas confined by magnetic fields journal May 1957
The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions
  • Chew, G. F.; Goldberger, M. L.; Low, F. E.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 236, Issue 1204, p. 112-118 https://doi.org/10.1098/rspa.1956.0116
journal July 1956
Motion of magnetic lines of force journal April 1958
Adiabatic Invariants of Periodic Classical Systems journal August 1959
On the Origin of the Cosmic Radiation journal April 1949
Stability of the Adiabatic Motion of Charged Particles in the Earth's Field journal January 1960
Modified Fermi Mechanism for the Acceleration of Cosmic Rays journal January 1956
Individual particle motion and the effect of scattering in an axially symmetric magnetic field journal September 1958
The guiding center approximation to charged particle motion journal July 1961

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