Aharonov-Bohm problem for spin 1

Phys. Rev. D 55, 5951 – Published 15 May 1997
M. L. Horner and Alfred S. Goldhaber


The basic AB problem is to determine how an unshielded tube of magnetic flux Φ affects arbitrarily long-wavelength charged particles impinging on it. For spin 1 at almost all Φ the particles do not penetrate the tube, so the interaction essentially is periodic in Φ (AB effect). Below-threshold bound states move freely only along the tube axis, and consequent induced vacuum currents supplement rather than screen Φ. For a pure magnetic interaction the tube must be broader than the particle Compton wavelength, i.e., only the nonrelativistic spin-1 AB problem exists.

DOI: http://dx.doi.org/10.1103/PhysRevD.55.5951

  • Received 12 September 1996
  • Published in the issue dated 15 May 1997

© 1997 The American Physical Society

Authors & Affiliations

M. L. Horner and Alfred S. Goldhaber

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, United Kingdom
  • Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794-3840

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