dorsal/arxiv
View SchemaQuantum Mechanics On Spaces With Finite Fundamental Group
| Authors | Domenico Giulini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9508011 |
| URL | https://arxiv.org/abs/quant-ph/9508011 |
| Journal | Helv. Phys. Acta 68 (1995) 438 |
Abstract
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 $\O$ 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.
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"abstract": "We consider in general terms dynamical systems with finite-dimensional,\nnon-simply connected configuration-spaces. The fundamental group is assumed to\nbe finite. We analyze in full detail those ambiguities in the quantization\nprocedure that arise from the non-simply connectedness of the classical\nconfiguration space. We define the quantum theory on the universal cover but\nrestrict the algebra of observables $\\O$ to the commutant of the algebra\ngenerated by deck-transformations. We apply standard superselection principles\nand construct the corresponding sectors. We emphasize the relevance of all\nsectors and not just the abelian ones.",
"arxiv_id": "quant-ph/9508011",
"authors": [
"Domenico Giulini"
],
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"quant-ph",
"gr-qc"
],
"journal_ref": "Helv. Phys. Acta 68 (1995) 438",
"title": "Quantum Mechanics On Spaces With Finite Fundamental Group",
"url": "https://arxiv.org/abs/quant-ph/9508011"
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