T. Tochishita et al., SEMICLASSICAL QUANTIZATION FOR THE MOTION OF THE GUIDING CENTER USINGTHE COHERENT-STATE PATH-INTEGRAL, Physics letters. A, 212(6), 1996, pp. 304-308
A new form of Bohr-Sommerfeld quantization is given for the motion of
the guiding center in a strong magnetic field. This is obtained from t
he effective action for the degree of the guiding center which is dedu
ced from the coherent state path integral for the two types of motion
under mutual interaction: cyclotron motion and the motion of the guidi
ng center.