# Quantum mechanics in multiply-connected spaces

@article{Duerr2007QuantumMI,
title={Quantum mechanics in multiply-connected spaces},
author={Detlef Duerr and Sheldon Goldstein and James Taylor and Roderich Tumulka and Nino Zangh{\'i}},
journal={Journal of Physics A},
year={2007},
volume={40},
pages={2997-3031}
}
We explain why, in a configuration space that is multiply connected, i.e., whose fundamental group is nontrivial, there are several quantum theories, corresponding to different choices of topological factors. We do this in the context of Bohmian mechanics, a quantum theory without observers from which the quantum formalism can be derived. What we do can be regarded as generalizing the Bohmian dynamics on to arbitrary Riemannian manifolds, and classifying the possible dynamics that arise. This…
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