scholarly journals Motion of a Charged Particle in a Non-uniform Magnetic Field

1964 ◽  
Vol 17 (4) ◽  
pp. 547 ◽  
Author(s):  
RF Mathams

The motion of an electron in a magnetic field of constant gradient has been analysed by Seymour (1959), who derives expressions for the x and y coordinates of the electron in terms of elliptic integrals.

1968 ◽  
Vol 2 (1) ◽  
pp. 59-64 ◽  
Author(s):  
M. J. Laird

The motion of a charged particle in the field of a plane circularly polarized wave propagating along a uniform magnetic field B0 is investigated. For the wave magnetic field small compared with B0, the equations of motion simplify to those of the pendulum, and a simple picture of what happens for particles near gyro- resonance results. Expressions are found for the amplitude and period of the pitch angle oscillations. Departures from uniformity and possible applications to the magnetosphere are briefly discussed.


1993 ◽  
Vol 42 (2) ◽  
pp. 180
Author(s):  
HUANG XIANG-YOU ◽  
LIU QUAN-HUI ◽  
TIAN XU ◽  
QIU ZHONG-PING

2006 ◽  
Vol 15 (01) ◽  
pp. 121-130 ◽  
Author(s):  
MORTEZA MOHSENI

We study the motion of a pseudo-classical charged particle with spin in the space–time of a gravitational pp wave in the presence of a uniform magnetic field.


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