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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Can the nonlocal Aharonov–Bohm effect be used for instantaneous transfer of information? [duplicate]
This famous effect and experiment is considered being nonlocal in the sense that it cannot be explained by classical causality and also being "instantaneous action at a distance". However, ...
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About Aharonov-Bohm presentation in Aharonov and Rohrlich book
I'm currently reading the book Quantum Paradoxes: Quantum Theory for the Perplexed by Aharonov and Rohrlich and in chapter 4 they show the existence of AB effect. I'm already familiar with the ...
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How in Aharonov–Bohm effect electron is confined to the region?
https://en.wikipedia.org/wiki/Aharonov%E2%80%93Bohm_effect
electrically charged particle is affected by an electromagnetic potential $( φ , A )$, despite being confined to a region in which both the ...
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On the Unique Characteristics of Potential [closed]
For example, the electric potential can be expressed as follows:
$$
V(\mathbf{r})=V_0 + \frac{1}{4\pi\epsilon_0}\frac{q_i}{|\mathbf{r}- \mathbf{r_i}|}
$$
It can be written as a representation of the ...
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Why in the Aharonov-Bohm effect the fact that the space is not simply connected leads to a vector potencial circulation different to zero?
I don't understand it, I don't know much about college mathematics, but why does the vector potential have to be constant if there is no hole in space but can have different values if there is a hole ...
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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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Single metal Seebeck effect in a ring in the presence of a magnetic field
According to the usual Seebeck effect, you can make a loop of wire with two different metals, apply a temperature difference between two opposite sites of the ring and measure a current. See picture
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Can potentials be used to transmit energy and information?
The famous Aharonov-Bohm effect displays the potential of the physical implications of different potential gauges in em theory.
I saw very few experimental and theoretical investigations into this ...
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Understanding the Bound State Aharonov Bohm Effect
The bound state Arahanov Bohm Effect in most textbooks is addressed by explicitly solving the time-independent S.E. in order to solve for the energies of the system and show that they explicitly ...
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Aharanov–Bohm effect: what happens if I turn off the magnetic field?
I've recently been trying to really understand what's going on in the Aharanov–Bohm effect, and I've crystallized my questions into the following variant of the typical Aharanov–Bohm setup.
Begin with ...
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Aharonov-Bohm effect possibilities
Could Aharonov-Bohm effect, in principle, be used to transfer either power or data? Aka wireless power transfer?
What limits the distance between a moving particle and the solenoid on which A-B effect ...
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Local phase shift of a wavefunction
EDIT: so, the real question is, why did we need LPS invariance to be a feature of QFT in a first place??
Was that a mere reflection of the fact that properties of matter particles are not defined (i.e....
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In the Aharanov-Bohm experiment, how are we sure that the electrons do not ever enter regions with $\vec B\neq 0$?
In the Aharanov-Bohm experiment, we say that the electron passes through a region where the magnetic field $\vec B=0$ but the vector potential $\vec A\neq 0$. The electron never passes through the ...
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Gauge choice in Aharonov-Bohm effect
In p.385 of Griffiths QM the vector potential $\textbf{A} = \frac{\Phi}{2\pi r}\hat{\phi}$ is chosen for the region outside a long solenoid. However, couldn't we also have chosen a vector potential ...
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Aharonov-Bohm Effect and the role of phase is unclear to me
I have a problem of understanding. In QM, the phase factor of a wave function does not change the probability density. It does change the probability current density though. What is the physical ...
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What would it mean for Aharanov-Bohm effect in a gauge in which the vector potential vanishes everywhere outside the solenoid?
Is it possible to find a gauge in which the vector potential outside the solenoid (with axis along $z$-axis) is made equal to zero everywhere? If so, wouldn't the phase difference in the Aharanov-Bohm ...
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Aharanov-Bohm Effect Gradient of Line Integral
In Griffiths' Quantum Mechanics 2nd edition section 10.2.3 the phase
$$g(\mathbf{r}) = \frac{q}{\hbar}\int_{O}^{\mathbf{r}}\mathbf{A}(\mathbf{r}')\cdot d\mathbf{r}'$$
is defined. It is noted that this ...
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Can the vector potential be written as $\mathbf A = \nabla \chi$ for some singular function $\chi$?
Consider a magnetic field $\mathbf B= \Phi\delta(x) \delta(y) \hat z$. The corresponding vector potential becomes $\mathbf A = \frac{\Phi}{2\pi r} \hat\theta$ in the cylindrical coordinates. ...
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Gradient of a line integral of a vector field
I need some advice on how to perform the gradient of a line integral of a vector field.
My problem refers to the Aharonov-Bohm Effect as it is discussed in the QM book from David Griffiths, as it ...
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Aharonov-Bohm effect of doubly localized wavepacket
I want to imagine an exotic situation regarding Aharonov-Bohm effect. The wavefunction $\psi$ of the electron is even ($\psi(\mathbf r) = \psi(-\mathbf r)$) and localized in two spatially separated ...
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Aharonov-Bohm effect in topological insulator in a square lattice
Does the presence of the Aharonov-Bohm (AB) effect break Time-reversal symmetry (TRS) for spinless systems in a topological square lattice? As we know that TRS protects the edge states in Topological ...
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Phase term in Aharonov-Bohm effect
In $U(1)$ gauge, the transformation is given by $(c=1)$ $$e^{\frac{ie\int A_\mu dx_\mu}{\hbar}}$$ I know that this form comes from the phase picked up by electrons in Aharonov-Bohm effect. However, in ...
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Deriving the non-abelian Aharonov-Bohm effect as a Berry phase
I am trying to derive the non-abelian Aharonov-Bohm effect by generalising Michael Berry's derivation to the case of non-abelian gauge field $A$.
My derivation so far
We require a degenerate ...
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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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The Aharonov-Bohm effect for arbitrary $B$-field
The Aharonov-Bohm effect is discussed for the case of particles moving along a closed loop through a region with zero magnetic field, however I was wondering whether it still holds for arbitrary ...
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Is it possible to derive the Aharonov-Bohm effect using translation operators alone?
There are multiple proofs of the Aharonov-Bohm effect. Arguably the most simple proof is the original one by Aharonov and Bohm which appears to be proven by inspection. Two other methods I have seen ...
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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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Momentum shift after threading magnetic flux through a ring
The question in short:
A translationally-invariant system living on a ring is in a state of momentum $p_0$. How does the momentum change after threading one magnetic flux quantum through the ring?...
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Aharonov-Bohm using density matrix?
On the one hand, we know that the overall phase of the wave function (of the whole system) is not a measurable quantity, but more an artifact of mathematical description — the physical states are rays ...
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Aharonov-Bohm Effect Interaction Energy Interpretation: $\vec E_m = -∇Φ - D\vec A/Dt$?
The Wang paper "An experimental proposal to test the physical effect of the vector potential" proposes an experiment to decide between two interpretations of the Aharonov-Bohm effect:
“the ...
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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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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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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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Reference request for the Aharonov-Bohm effect
I am looking for a good reference to an online source or book, on the magnetic Aharonov-Bohm effect. I have read the appropriate sections from the book by Griffiths and Ballentine, and still haven't ...