Phys. Rev. Lett. 89, 210405 (2002) [4 pages]Torus Quantization for Spinning ParticlesReceived 17 July 2002; published 1 November 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.210405
DOI:
10.1103/PhysRevLett.89.210405
PACS:
03.65.Sq, 03.65.Pm, 31.15.Gy
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