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Topological Factors Derived From Bohmian Mechanics

Detlef Duerr·Sheldon Goldstein·James Taylor·Roderich Tumulka·Nino Zanghi
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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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Detlef Duerr, Sheldon Goldstein, James Taylor, Roderich Tumulka, Nino Zanghi. 2006-01-11. Topological Factors Derived From Bohmian Mechanics. https://doi.org/10.1007/s00023-006-0269-5

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