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Phys. Rev. Lett. 48, 1144–1146 (1982)

Magnetic Flux, Angular Momentum, and Statistics

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Frank Wilczek
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

Received 8 January 1982; published in the issue dated 26 April 1982

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-qΦ/2π. 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.

© 1982 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.48.1144
DOI:
10.1103/PhysRevLett.48.1144
PACS:
14.80.Hv, 03.65.Bz

See Also

Comment: Donald H. Kobe, Comment on "Magnetic Flux, Angular Momentum, and Statistics", Phys. Rev. Lett. 49, 1592 (1982).