Questions tagged [aharonov-bohm]
The Aharonov–Bohm effect is a quantum mechanical phenomenon in which an electrically charged particle is affected by a non-zero electromagnetic gauge potential despite there being a zero electromagnetic field (in the region where the particle is allowed to propagate). This coupling results in the particle's wavefunction to gain a phase factor, and hence is most noticeable in interference experiments.
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Local explanation of the Aharonov-Bohm effect in terms of force fields
Here is an interesting paper for the Physics SE community:
On the role of potentials in the Aharonov-Bohm effect. Lev Vaidman. Phys. Rev. A 86 no. 4, 040101 (R) (2012). arXiv:1110.6169 [quant-ph].
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What is the conclusion from Aharonov-Bohm Effect?
What is the conclusion that we can draw from the Aharonov-Bohm effect? Does it simply suggest that the vector potential has measurable effects? Does it mean that it is a real observable in quantum ...
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Can the Aharonov-Bohm experiment also be described by conditional probablilties, like the simple double slit?
The most attractive description of the double slit experiment for me is that in Beltrametti and Cassinelli's book.$^{[1]}$ The essence of their description is the following.
Beltrametti-Cassinelli ...
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How is the geometry of the magnetic vector potential determined in the original Aharonov-Bohm experiment?
I've tried but I can't find anything about the geometry of the gauge field, which is mentioned in an article in Scientific American 1981, by Bernstein and Phillips.
They say, without explaining it, ...
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What is the analog of the Aharonov-Bohm effect for general gauge fields and for gravity?
The Aharonov-Bohm effect concerns the electromagnetic fields, where a quantum particle can feel the effect of an electromagnetic field in regions where it vanishes, through the electromagnetic ...
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A theoretical issue in the mathematical description of the Aharonov-Bohm experiment
Mathematically viewing, the Aharonov-Bohm experiment shows that the magnetic field creates a connection with a nonzero holonomy on a multiply-connected domain. This means that there isn't a state ...
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Is special relativity falsified by the Aharonov-Bohm effect?
The Lorenz gauge is the only Lorentz invariant electrodynamic gauge. If the vector potential has physical meaning, as in the Aharonov-Bohm effect (ABE), then the gauge condition can not be arbitrarily ...
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Aharonov-Bohm effect of doubly localized wavepacket
I want to imagine an exotic situation regarding Aharonov-Bohm effect. The wavefunction $\psi$ of the electron is even ($\psi(\mathbf r) = \psi(-\mathbf r)$) and localized in two spatially separated ...
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Aharonov-Bohm Effect electricity generation
This question is based on highly intuitive picture of the Aharonov-Bohm effect (perhaps a naive one).
From what I have read, the current explanation of the AB effect is that although the electron ...
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Is the bundle of the Aharonov-Bohm effect like the tangent bundle of a cylinder or like the tangent bundle of a truncated cone?
Both are trivial bundles, and the natural (metric) connection is flat (curvature-free) for both. The difference between them is that the holonomy of the tangent bundle of the cylinder is trivial while ...
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Large gauge transformation in $\mathrm{U}(1)$ flux threading argument
In Oshikawa's flux threading argument for the $\mathrm{U}(1)\times T$ Lieb-Schultz-Mattis (LSM) theorem, the author defined a so-called large gauge transformation
$$U=\exp\left(i\frac{2\pi}{L}\sum_{\...
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