# Quantum mechanics in multiply-connected spaces

@article{Ho1996QuantumMI, title={Quantum mechanics in multiply-connected spaces}, author={Vu Ho and Michael John Morgan}, journal={Journal of Physics A}, year={1996}, volume={29}, pages={1497-1510} }

This paper analyses quantum mechanics in multiply-connected spaces. It is shown that the multiple connectedness of the configuration space of a physical system can determine the quantum nature of physical observables, such as the angular momentum. In particular, quantum mechanics in compactified Kaluza - Klein spaces is examined. These compactified spaces give rise to an additional angular momentum which can adopt half-integer values and therefore, may be identified with the intrinsic spin of a… Expand

#### 11 Citations

Quantum mechanics in multiply-connected spaces

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Constructing and Constraining Wave Functions for Identical Quantum Particles

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I address the problem of explaining why wave functions for identical particles must be either symmetric or antisymmetric (the symmetry dichotomy) within two interpretations of quantum mechanics which… Expand

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This dissertation reports our investigation into the existence of anyons, which interpolate between bosons and fermions, in light of the Symmetrization Postulate, which states that only the two… Expand

A FORMULATION OF SPIN DYNAMICS USING SCHRÖDINGER EQUATION

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In quantum mechanics, there is a profound distinction between orbital angular momentum and spin angular momentum in which the former can be associated with the motion of a physical object in space… Expand

Bohmian Trajectories as the Foundation of Quantum Mechanics

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Bohmian trajectories have been used for various purposes, including the numer- ical simulation of the time-dependent Schrodinger equation and the visualization of time-dependent wave functions. We… Expand

General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture

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These findings suggest that if the ER = EPR conjecture is valid, it can be extended to other different types of space–times and that gravity and space–time could be emergent physical quantities if the exchange of a virtual graviton between events can be considered connected by ER wormholes equivalent to entanglement connections. Expand

An Intrinsic Theory of Quantum Mechanics: Progress in Field's Nominalistic Program, Part I

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In this paper, I introduce an intrinsic account of the quantum state. This account contains three desirable features that the standard platonistic account lacks: (1) it does not refer to any abstract… Expand

Path Integrals in a Multiply-Connected Configuration Space (50 Years After)

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The proposal made 50 years ago by Schulman (1968), Laidlaw & Morette-DeWitt (1971) and Dowker (1972) to decompose the propagator according to the homotopy classes of paths was a major breakthrough:… Expand

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