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Results tagged with electromagnetism
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user 321320
The classical theory of electric and magnetic fields, both in the static and dynamic case. It also covers general questions about magnets, electric attraction/repulsion, etc. Distinct from electrical-engineering.
1
vote
0
answers
27
views
Trying to get a magnetic field behave like a quantum harmonic oscillator
Background:
Let’s take a magnetic vector potential $\vec{A} = (A_1(x_1,x_2),A_2(x_1,x_2),0)^T$, s.t. $\vec{B}=(0,0,B)^T$, the Hamiltonian in the position representation can be rewritten as:
$$
H = -\f …
- 512
9
votes
3
answers
1k
views
Vector Potential that vanishes outside infinite solenoid
Consider the magnetic field $\vec{B}$ generated by an infinite solenoid on the $z$-axis with radius $R$.
Then $$\vec{B}(r)=\begin{cases}
B_z \hat{z} & \text{ if }r<R, \\
0 & \text{ elsewhere.}
\end{ca …
- 512