It is demonstrated that the orbital angular momentum lz of a particle of charge q orbiting around a tube with magnetic flux Φ is quantized in units lz=integer-qΦ2π. A very simple physical argument for this is presented, and applied to understand the Dirac quantization condition and the charge-spin relation for particles bound to magnetic monopoles. The unusual statistics of flux-tube-charged-particle composites is discussed.
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Frank Wilczek (1982) studied this question.
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