Topological Factors Derived From Bohmian Mechanics

Details Topological Factors Derived From Bohmian Mechanics Topological Factors Derived From Bohmian Mechanics

2006-01-11

arxiv.org/abs/quant-ph/0601076v1

Annales Henri Poincare 7 (2006) 791-807

Physics

Quantum Physics

17 pages, no figures

Scientific paper

10.1007/s00023-006-0269-5

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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