Topological Factors Derived From Bohmian Mechanics

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.

17 pages, no figures

References in corpus (4)

• On the Global Existence of Bohmian Mechanics
• Simple Proof for Global Existence of Bohmian Trajectories
• Quantum Mechanics in Multiply-Connected Spaces
• Quantum mechanics in multiply connected spaces

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• Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function
• Quantum Mechanics in Multiply-Connected Spaces
• Quantum mechanics on manifolds and topological effects
• Can Bohmian Mechanics Be Made Background Independent?
• On the Conceptual Issues Surrounding the Notion of Relational Bohmian Dynamics
• Informational Approach to Identical Particles in Quantum Theory
• Bohmian Trajectories for Hamiltonians with Interior-Boundary Conditions
• Fermionic Wave Functions on Unordered Configurations
• On the description of subsystems in relativistic hypersurface Bohmian mechanics
• Classical and Quantum Mechanics from the universal Poisson-Rinehart algebra of a manifold
• Constructing and Constraining Wave Functions for Identical Quantum Particles
• Manifold Topology, Observables and Gauge Group