Magnetic Flux, Angular Momentum, and Statistics

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.