S. Bulanov et al., CLASSICAL AND QUANTUM MOTION OF CHARGED-PARTICLES IN THE VICINITY OF NEUTRAL SURFACE OF A MAGNETIC-FIELD, Journal of the Physical Society of Japan, 66(12), 1997, pp. 3696-3699
We present results of the classical and quantum descriptions of the ch
arged particle motion near a neutral surface of a magnetic field, wher
e the magnetic field vanishes. Far from the neutral surface. the drift
approximation is valid within the classical limit whereas the Landau
description of the charged particle in the magnetic field can be used
in the quantum case. In the vicinity of the neutral surface, at the di
stance in the classical regime less than the Larmor radius, the partic
le motion is nonadiabatic. Here the motion of the particle is describe
d by the Schrodinger equation with the potential that corresponds to t
hat of the harmonic oscillator with frequency that dependent on the pa
rticle momentum along the neutral surface.