Abstract
An unresolved issue in (2 + 1)-dimensional quantum mechanics is whether a composite object formed from a charged particle bound to a magentic flux tube carries fractional angular momentum. We argue that this is indeed so, that the result confirms Wilczek's generalized connection of spin and statistics, and that further confirmation is provided by the recently discovered induced charged and spin of flux tubes in (2 + 1)-dimensional QED, a theory in which different spin and statistics are defined at short- and at long-distance scales.
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