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.
26
questions
1
vote
0
answers
93
views
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
...
- 4,271
0
votes
0
answers
22
views
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 ...
- 75
1
vote
0
answers
74
views
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 ...
- 41
0
votes
0
answers
17
views
Why Aharonov-Bohm interference loop in topological insulator nanowire/nanoribbon could be formed by two paths with opposite spin?
When applying a magnetic field along the axis of a topological insulator nanowire/nanoribbon, AB oscillations are observed in previous experiments, e.g., https://doi.org/10.1038/nmat2609. I am a ...
2
votes
0
answers
79
views
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 ...
- 1,042
0
votes
2
answers
91
views
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 ...
- 79
1
vote
0
answers
147
views
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....
- 185
2
votes
1
answer
50
views
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 ...
- 10.6k
2
votes
1
answer
156
views
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 ...
- 127
0
votes
1
answer
41
views
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 ...
- 1
3
votes
1
answer
203
views
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 ...
- 10.6k
1
vote
1
answer
77
views
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 ...
- 41
1
vote
2
answers
129
views
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. ...
- 1,041
0
votes
2
answers
159
views
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 ...
- 109
3
votes
1
answer
59
views
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 ...
- 1,041
3
votes
0
answers
66
views
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 ...
- 31
0
votes
1
answer
96
views
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 ...
- 91
5
votes
1
answer
343
views
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 ...
- 3,694
4
votes
1
answer
275
views
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 ...
- 852
0
votes
1
answer
128
views
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 ...
- 3,694
10
votes
2
answers
444
views
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 ...
- 3,694
23
votes
2
answers
880
views
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 ...
- 7,271
1
vote
1
answer
119
views
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?...
- 616
23
votes
2
answers
2k
views
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 ...
- 25.4k
29
votes
2
answers
2k
views
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].
...
- 15.2k
5
votes
2
answers
573
views
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 ...