Quantum mechanics in multiply-connected spaces
نویسندگان
چکیده
منابع مشابه
Quantum Mechanics in Multiply-Connected Spaces
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 d...
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Physics defined on multiply connected manifolds is an old topic in theoretical physics. In the context of the path integral formalism it was studied by the first time by Schulman [1] in 1968 and rigourely formulated by Laidlaw and de Witt [2] and Dowker [3] in 1971. The central point is that in a multiply connected manifold the paths have differents weights in the sum over histories and the pro...
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The standard (Berezin-Toeplitz) geometric quantization of a compact Kähler manifold is restricted by integrality conditions. These restrictions can be circumvented by passing to the universal covering space, provided that the lift of the symplectic form is exact. I relate this construction to the Baum-Connes assembly map and prove that it gives a strict quantization of the manifold. I also prop...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2007
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/40/12/s08