All Questions
15
questions
1
vote
0
answers
19
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Qualitatively, how would you model the electron in a Penning trap quantum mechanically?
I know there are articles that give a full treatment of the math, but I'm more interested in the concept. I get that, in the classical picture, we are measuring the oscillation frequency of the ...
3
votes
1
answer
80
views
Magnetic field by a electron
In an atom there are $n$ electrons and the $n$th electron creates a magnetic field, as it has velocity and the other $n-1$ electrons will be affected by this force. But still, why aren't we ...
7
votes
0
answers
78
views
Should electrons as tiny magnets, stick to a permanent magnet if in appropriate conditions?
Should electrons as tiny magnets, stick to a permanent magnet if in appropriate conditions? Why shouldn't the magnet collect them like tiny iron dust?I know they repeal each other but should a certain ...
1
vote
0
answers
415
views
How do magnetic dipoles align with external magnetic fields?
Based on the equation for energy of a magnetic dipole in an external field:
$$E=-\mu \cdot B$$ I would have thought that the system would minimise its potential energy and so the $\mu $ will be ...
2
votes
0
answers
43
views
Eigenstates in a 2D metal disk with finite-size perpendicular magnetic field (Piece-wise Gauge)
Let's have a two-dimensional metal disk with radius R, and now I apply a uniform magnetic field B perpendicular to the disk, within the concentric part of the disk with radius r $\lt$ R. How can we ...
0
votes
1
answer
127
views
What is the flux $\Phi$ enclosed by cyclotron orbit, which can express the quantization rule?
Suppose an electron (mass $m$, charge $e$) in the xy-plane with $B=(0,0,B)$ (The classical EOM result in circular orbit). Using the Bohr-Sommerfeld quantization rule we can find that $E_n = (n+1/2)\...
0
votes
1
answer
180
views
Path of an electron in magnetic field [closed]
Can we describe the path of an electron (or any subatomic particle) inside, say magnetic field?
We generally described in terms of classical laws that this path will be spiral or circular.
But path-...
0
votes
1
answer
367
views
Which side of a silver atom is "north" and which is "south"?
From what little I've learned about quantum mechanics, I understand that atoms with electrons whose spins don't cancel each other out act like tiny magnets. I assume this means these atoms, like ...
4
votes
1
answer
198
views
$N=1$ and $N=2$ supersymmetry for non-relativistic electrons
I have been following Fred Cooper's Supersymmetry in Quantum Mechanics and I am currently on pages 63/64 where I have now derived the Pauli-Hamiltonian for a non-relativistic electron in an external ...
3
votes
1
answer
546
views
Can the classical action for an electron in constant magnetic field be periodically infinity for different values of time?
In Feynman's book, 'Quantum Mechanincs and Path integral', the following problem is given (page no. 64):
Now, we know that $Kernel\propto e^{iS_{cl}/h}$ if $S$ is quadratic. Here, $S_{cl}$ refers to ...
1
vote
0
answers
36
views
How can we be using the orbital model to calculate such microscale phenomena as Zeeman effect?
Surely it begs for a quantum-mechanical description?
Thank you.
3
votes
2
answers
1k
views
How can an electron's magnetic moment precess around the direction of an external magnetic field?
I am reading this article: The Nature of the Electron by Don Lincoln in The Physics Teacher, Volume 54 (2016), pg. 203, and I ran across the part where he talks about measuring the magnetic moment of ...
2
votes
1
answer
2k
views
Landau levels in 2D
I seem to be having a very basic misunderstanding of Landau levels in 2D. Consider the derivation give on page 7 here, where we consider electrons free to move in 2 dimensions, with a magnetic field ...
2
votes
3
answers
728
views
Has this double slit experiment been performed with electrons?
I don't know if we have the technology yet.
Double slits, one electron at a time.
The moving electron should produce a magnetic field. Can we detect such a weak magnetic field and tell which slit ...
4
votes
1
answer
186
views
Prove that Laughlin's 3-electron states are a complete set of states
In R. B. Laughlin's 1983 Physical Review B article, Quantized motion of three two-dimensional electrons in a strong magnetic field, Laughlin separates out the center of mass motion of the electrons, ...