Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 23, No 2, (1997), 177p-186p
Abstract:
A new approach is proposed for the quantum mechanics of
guiding center motion in strong magnetic field. This is achieved by use of
the coherent state path integral for the coupled systems of the cyclotron and
the guiding center motion. We are specifically concerned with the effective
action for the guiding center degree, which can be used to get the Bohr-
Sommerfeld quantization scheme. The quantization rule is similar to the
one for the vortex motion as a dynamics of point particles.