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It is demonstrated that the orbital angular momentum lₙ of a particle of charge q orbiting around a tube with magnetic flux is quantized in units lₙ=integer-q2. 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.
Frank Wilczek (Mon,) studied this question.