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Topological Factors Derived from Bohmian Mechanics |
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| Authors: | Detlef Dürr Sheldon Goldstein James Taylor Roderich Tumulka Nino Zanghì |
| Affiliation: | 1. Mathematisches Institut der Universit?t München, Theresienstra?e 39, D-80333, München, Germany 2. Departments of Mathematics, Physics and Philosophy, The State University of New Jersey, Hill Center, Rutgers, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA 3. Center for Talented Youth, Johns Hopkins University, McAuley Hall, Suite 400, 5801 Smith Ave, Baltimore, MD, 21209, USA 4. Mathematisches Institut, Eberhard-Karls-Universit?t, Auf der Morgenstelle 10, D-72076, Tübingen, Germany 5. Dipartimento di Fisica, dell’Università di Genova and INFN sezione di Genova, Via Dodecaneso 33, I-16146, Genova, Italy |
| Abstract: | We derive for Bohmian mechanics topological factors for quantum systems with a multiply-connected configuration space $$ mathcal{Q}. $$ These include nonabelian factors corresponding to what we call holonomy-twisted representations of the fundamental group of $$ mathcal{Q}. $$ We employ wave functions on the universal covering space of $$ mathcal{Q}. $$ 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. Communicated by Yosi Avron Submitted: 21/06/2005 Revised: 10/01/2006 Accepted: 27/01/2006 |
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