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

TL;DR

This paper introduces a novel semiclassical quantization method for guiding center motion in strong magnetic fields, derived from a coherent state path integral approach that accounts for cyclotron and guiding center interactions.

Contribution

It develops a new Bohr-Sommerfeld quantization framework based on effective action from coherent state path integrals for guiding center dynamics.

Findings

Provides a new semiclassical quantization formula for guiding centers.

Derives effective action from coherent state path integrals.

Addresses interactions between cyclotron motion and guiding center movement.

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.