Aharonov-Bohm Effect & Spin 1/2 Particles

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Discussion Overview

The discussion revolves around the Aharonov-Bohm effect and its implications for spin 1/2 particles, particularly in scenarios where the magnetic field is zero but the vector potential is non-zero. Participants explore whether this effect can lead to deflection of spin 1/2 particles or if it merely alters the phase of their state vectors.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether a spin 1/2 particle can be deflected by the Aharonov-Bohm effect when the magnetic field is zero and the vector potential is present, suggesting a possible phase change in the state vector instead.
  • Another participant states that the Aharonov-Bohm effect acts on charged particles but is independent of spin, introducing the Aharonov-Casher effect as an analogous phenomenon for particles with spin in electric fields.
  • A participant expresses the view that since the Aharonov-Bohm effect affects charged particles, it should also influence spin, as spin is affected by magnetic fields.
  • Another participant counters that not all particles with spin are charged, referencing the Stern-Gerlach experiment with neutral silver atoms.
  • A participant acknowledges the previous points and expresses interest in the fact that the Aharonov-Bohm effect only acts on charged particles, concluding that shooting silver atoms by a solenoid would not result in observing the Aharonov-Bohm effect.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the relationship between spin and the Aharonov-Bohm effect, with some asserting that it does not affect spin while others suggest it might. The discussion remains unresolved on whether the effect can lead to deflection of spin 1/2 particles.

Contextual Notes

Participants discuss the implications of the Aharonov-Bohm effect in the context of charged versus neutral particles and the role of spin, highlighting the need for clarity on the definitions and conditions under which these effects operate.

cragar
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Can I get a spin 1/2 particle to deflect with the aharonov bohm effect.
Where the B field is zero but A is not? Or will it just change the phase in the state-vector?
can I get the spin up particles to go one way and the spin down particles to go another way.
 
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The AB effect acts on charged particles but is independent of spin.
For particles with spin there is an analogous deflection in electric fields, the Aharonov-Casher effect.
 
it seems that if it affects charged particles that it would also affect spin, because spin is affected by a B field.
thanks for your post
 
But not all particles having spin are charged. Stern and Gerlach were using neutral silver atoms in their experiment.
 
ok I see your point.
Thats interesting that it only acts on charged particles.
So if I shot silver atoms by a solenoid I would not observe the AB-effect.
 

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