dorsal/arxiv
View SchemaTopological Factors Derived From Bohmian Mechanics
| Authors | Detlef Duerr, Sheldon Goldstein, James Taylor, Roderich Tumulka, Nino Zanghi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601076 |
| URL | https://arxiv.org/abs/quant-ph/0601076 |
| DOI | 10.1007/s00023-006-0269-5 |
| Journal | Annales Henri Poincare 7 (2006) 791-807 |
Abstract
We derive for Bohmian mechanics topological factors for quantum systems with a multiply-connected configuration space Q. These include nonabelian factors corresponding to what we call holonomy-twisted representations of the fundamental group of Q. We employ wave functions on the universal covering space of Q. As a byproduct of our analysis, we obtain an explanation, within the framework of Bohmian mechanics, of the fact that the wave function of a system of identical particles is either symmetric or anti-symmetric.
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"abstract": "We derive for Bohmian mechanics topological factors for quantum systems with\na multiply-connected configuration space Q. These include nonabelian factors\ncorresponding to what we call holonomy-twisted representations of the\nfundamental group of Q. We employ wave functions on the universal covering\nspace of Q. As a byproduct of our analysis, we obtain an explanation, within\nthe framework of Bohmian mechanics, of the fact that the wave function of a\nsystem of identical particles is either symmetric or anti-symmetric.",
"arxiv_id": "quant-ph/0601076",
"authors": [
"Detlef Duerr",
"Sheldon Goldstein",
"James Taylor",
"Roderich Tumulka",
"Nino Zanghi"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s00023-006-0269-5",
"journal_ref": "Annales Henri Poincare 7 (2006) 791-807",
"title": "Topological Factors Derived From Bohmian Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0601076"
},
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