CLASSICAL AND QUANTUM MOTION OF CHARGED-PARTICLES IN THE VICINITY OF NEUTRAL SURFACE OF A MAGNETIC-FIELD

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.