1995/08/16 by Domenico Giulini
Physics and Astronomy · #quant-ph #gr-qc
published as Helv. Phys. Acta 68 (1995) 438 · 40 Pages, Plain-TeX, no figures
arxiv created 1995/08/16 · arxiv updated 2009/11/30
We consider in general terms dynamical systems with finite-dimensional, non-simply connected configuration-spaces. The fundamental group is assumed to be finite. We analyze in full detail those ambiguities in the quantization procedure that arise from the non-simply connectedness of the classical configuration space. We define the quantum theory on the universal cover but restrict the algebra of observables Ø to the commutant of the algebra generated by deck-transformations. We apply standard superselection principles and construct the corresponding sectors. We emphasize the relevance of all sectors and not just the abelian ones.