What is the geometry of a gauge potential in the A-B experiment?

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In summary, the conversation discusses an article written in 1981 by Bernstein and Phillips on fiber bundles and quantum fields. The article is still considered a useful reference and is often used by lecturers at universities. The question is about how the authors determine the geometry of the magnetic vector potential in the original A-B experiment, which is described as a hemisphere, and outside the solenoid, which is described as a truncated cone. The conversation also includes a link to another article by T. T. Wu and C. N. Yang, which is a standard reference for the geometry and topology of the AB effect. The link to the original article mentioned is also provided.
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Anko
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Aharonov-Bohm effect
Hi, this is a question about an article in the Scientific American magazine.

In 1981 Bernstein and Phillips wrote an article about fiber bundles and quantum fields, and I believe it's still a useful reference, the kind of thing lecturers would use at university.

Anyway, my question is, how do the authors determine that the geometry of the magnetic vector potential, in the original A-B experiment, is topologically a hemisphere, and that outside the solenoid the potential is geometrically a truncated cone?
 
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Do you have a link to the article? Concerning the geometry/topology and the AB effect a standard reference is

T. T. Wu and C. N. Yang, Concept of nonintegrable phase factors and global for-
mulation of gauge fields, Phys. Rev. D 12, 3845 (1975),
http://link.aps.org/abstract/PRD/v12/i12/p3845
 
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