Quantum mechanics in multiply connected spaces

Abstract

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 quantum particle.

Latex 15 pages

References in corpus (1)

• On the quantisation of the angular momentum

Cited by in corpus (4)

• Topological Factors Derived From Bohmian Mechanics
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Quantum Mechanics in Multiply-Connected Spaces
• Path integrals in a multiply-connected configuration space (50 years after)