Electrical Analog of Aharonov-Bohm Effect

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SUMMARY

The Aharonov-Bohm Effect, first proposed in 1959, involves two experiments to detect phase shifts in electron beams influenced by electric potentials and magnetic vector potentials. Despite discussions on the successful execution of these experiments, no studies have conclusively replicated the original specifications. One notable article referenced discusses an experiment utilizing graphene rings, but it primarily focuses on electron flow rather than confirming the electrical analog of the Aharonov-Bohm Effect. Overall, the electrical analog remains unverified in laboratory settings.

PREREQUISITES
  • Understanding of the Aharonov-Bohm Effect
  • Familiarity with phase shifts in quantum mechanics
  • Knowledge of solid-state technology applications
  • Basic principles of electron behavior in electric and magnetic fields
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  • Research the original 1959 paper on the Aharonov-Bohm Effect
  • Explore experimental setups involving graphene rings and their implications
  • Investigate recent studies on solid-state technology in quantum experiments
  • Learn about phase shift measurements in quantum mechanics
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Physicists, quantum mechanics researchers, and anyone interested in the experimental validation of quantum effects, particularly the Aharonov-Bohm Effect.

LarryS
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TL;DR
Was original experiment, EXACTLY as specified in the 1959 paper, ever performed successfully?
The original paper for what is now called the Aharonov-Bohm Effect was published in 1959. In this paper they proposed two experiments: One for detecting phase shifts for two electron beams, each passing through regions (inside metal tubes) with constant but differing Electric Potentials. The second for detecting a phase shift for electrons passing through a region of constant Magnetic Vector Potential outside of a solenoid.

Was the first experiment, exactly as specified in the original paper, ever performed successfully?

Thank you in advance.
 
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The emphasis of “exactly” is a little problematic. It just predisposes you to reject experiments because of some ridiculously insignificant deviation from an idealized theoretical experiment.
 
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Ok. Makes sense. So, were there any experiments for the electrical analog of the AB Effect that were fairly close to the one in the original paper that were successful?
 
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Larry, this turns this into a guesing game. "What about this one?" "Nope, doesn't count as close enough." "What about this one. then?" "Nope, doesn't count as close enough either."
 
Has the OP found any articles that purport such tests? The electric potential result is somewhat less surprising to most folks I think.
 
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hutchphd said:
Has the OP found any articles that purport such tests? The electric potential result is somewhat less surprising to most folks I think.
I found one article regarding an experiment that used solid-state technology to confirm the electrical analog of the AB Effect. I will try find it. I found no experiments that even remotely resembled the experiment suggested in the original paper.
 
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Very interesting. Nice question, wish I knew more.
 
LarryS said:
I found one article regarding an experiment that used solid-state technology to confirm the electrical analog of the AB Effect. I will try find it. I found no experiments that even remotely resembled the experiment suggested in the original paper.
Correction: The article I found was for an experiment using graphene rings. My impression of the experiment was that is was more about electron flow in graphene than about the electrical analog of the AB effect. It did not conclusively confirm the electrical AB Effect.
 
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