Semiclassical Quantization for the Motion of Guiding Center Using the Coherent State Path Integral

Abstract

A new form of the Bohr-Sommerfeld quantization is given of the motion of guiding center in strong magnetic field. This is obtained by the effective action for the degree of guiding center which is deduced from the coherent state path integral for the two types of motion under the mutual interaction; the cyclotron motion and the motion of guiding center.