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Phys. Rev. D 55, 5951–5956 (1997)

Aharonov-Bohm problem for spin 1

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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

Received 12 September 1996; published in the issue dated 15 May 1997

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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.55.5951
DOI:
10.1103/PhysRevD.55.5951
PACS:
03.65.Bz, 03.65.Pm, 11.15.-q, 11.27.+d