Torus quantization for spinning particles.
We derive semiclassical quantization conditions for particles with spin. These generalize the Einstein-Brillouin-Keller quantization in such a way that, in addition to the Maslov correction, there appears another term which is a remnant of a non-Abelian geometric or Berry phase. This correction is interpreted in terms of a rotation angle for a classical spin vector.
Keppeler
Stefan
S
Abteilung Theoretische Physik, Universität Ulm, Albert-Einstein-Alle 11, D-89069 Ulm, Germany. stefan.keppeler@physik.uni-ulm.de