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Journal of South China Normal University

BLOCH EQUATION'S SOLUTION OF ARBITRARY SPIN NEUTRAL PARTICLES IN A ROTATION MAGETIC FIELD

Yan Yu-zhen

Published Jan 1, 2004• 0 citations
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Abstract

In this paper the exact solution of Bloch equation for the cases of arbitrary spin neutral particles in a rotating magnetic field is obtained. For spin 1/2 case, the results here coincided with the results by using rotational frame method.

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From the interaction between the magnetic quadrupole moment of a neutral particle (atom or molecule) with a radial electric field, a uniform effective magnetic field perpendicular to the plane of motion of the neutral particle appears. In addition, it is considered that the presence of a scalar potential is proportional to the radial distance and noninertial effects that stem from a rotating reference frame. Then, analytical solutions to the Schrödinger equation are obtained, where it is shown that the Landau-type levels are modified, and the allowed values of the cyclotron frequency are determined by the angular velocity of the rotating frame, the parameter associated with the scalar potential proportional to the radial distance and the quantum numbers of the system.