Quantum Mechanics in Multiply-Connected Spaces

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dc.creatorDuerr, Detlef
dc.creatorGoldstein, Sheldon
dc.creatorTaylor, James
dc.creatorTumulka, Roderich
dc.creatorZanghi, Nino
dc.date2005-06-21
dc.date2006-06-28
dc.date.accessioned2026-07-07T07:50:31Z
dc.date.available2026-07-07T07:50:31Z
dc.descriptionWe 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 $\mathbb{R}^{3N}$ to arbitrary Riemannian manifolds, and classifying the possible dynamics that arise. This approach provides a new understanding of the topological features of quantum theory, such as the symmetrization postulate for identical particles. For our analysis we employ wave functions on the universal covering space of the configuration space.
dc.description45 pages LaTeX, no figures; v2 some extensions
dc.identifierhttps://arxiv.org/abs/quant-ph/0506173
dc.identifierhttp://arxiv.org/abs/quant-ph/0506173
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) 2997-3031
dc.identifierdoi:10.1088/1751-8113/40/12/S08
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125190
dc.subjectQuantum Physics
dc.titleQuantum Mechanics in Multiply-Connected Spaces
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