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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Could a delayed choice Aharonov-Bohm experiment be used for FTL information transfer?
Tim Maudlin about a delayed choice Aharonov-Bohm experiment, the section between 1:35:00 and 1:38:30
In the interview above Tim Maudlin mentions some sort of delayed choice Aharonov-Bohm experiment. ...
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A missing link in the logical chain about the Aharonov-Bohm effect
The usual treatment of the Aharonov-Bohm effect (which appeared already in Aharonov and Bohm's original paper) takes two particular local solutions of the Schrödinger equation, $\psi_1$ and $\psi_2$. ...
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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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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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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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Potential energy of a particle inside a magnetic vector potential
Why is the potential energy of a particle inside a magnetic vector potential equal to $-\frac{e}{c}\cdot\vec{A}(\vec{x}(t))\cdot\dot{\vec{x}}(t)$? It appears for example inside the lagrangian of the ...
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Ahranov-Bohm problem for a 1D ring solenoid of radius $R_0$
In order to solve the problem above, I'm trying to write the vector potential of a 1D ring solenoid of radius $R_0$, with a magnetic field $\vec{B}=B_0 \hat{\phi}$ which is constant along the circle. ...
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Aharonov-Bohm effect and periodic boundary conditions for particle on a ring
For a particle on a ring, we have the periodic boundary conditions $\psi(\phi+2\pi)=\psi(\phi)$. If we also have a magnetic field penetrating perpendicularly the ring, then when the particle goes ...
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Is the magnetic vector potential "real" in classical electromagnetism?
From how I've learned it in school the magnetic vector potential is used as a mathematical tool to simplify problems with current-carrying wires in classical electromagnetism, but is never treated as ...
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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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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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