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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.

2 votes
1 answer
1k views

What will happen if the charge do not exist? [closed]

It is just a naive idea, and I want some discussions to help me think deeper. I don't know the reason of indispensability of charge, maybe some physical laws guarantee that the charge must be exist. …
qfzklm's user avatar
  • 1,211
1 vote
2 answers
384 views

Why does a magnetic field raise the ground state energy of an electrical particle?

I heard a statement that the ground state energy of a electrical particle in a magnetic field is larger than its ground state energy without the magnetic field. I just heard this statement. This sta …
qfzklm's user avatar
  • 1,211
12 votes
1 answer
459 views

Is the uniqueness theorem correct in superconductivity?

There is an uniqueness theorem in electromagnetism. It says that the solution of Maxwell's Equations is determined uniquely by boundary conditions. …
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  • 1,211
1 vote
Accepted

Why is $B(T)\approx b(T-T_C)$ near critical point $T_C$ in Landau theory?

In Landau's theory, the order parameter $M$ should make $G(M)$ minimal. $$\frac{\partial G}{\partial M} = 2 B(T) M + 4 C(T) M^3=0$$ $$\frac{\partial^2 G}{\partial M^2} = 2 B(T) + 12 C(T) M^2 > 0$$ Hen …
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1 vote

Electric charge is lorentz invariant

My textbook says that if electric charge was not invariant under Lorentz's transformation, then atoms would have charge. We know that atoms are neutral, so electric charge must be invariant.
qfzklm's user avatar
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6 votes
6 answers
4k views

Is the canonical momentum conserved when a particle moves in magnetic field?

Here is a question about the canonical momentum that I had asked some days ago, but I still have one point that I am not understand. Considering a particle moves in a magnetic field with charge $q$ a …
qfzklm's user avatar
  • 1,211
1 vote
4 answers
969 views

A question about canonical momentum and arbitrariness for potential in magnetism

The following question confuses me: There exists magnetic field $B_z =- \beta x$ where $x > 0$, and a particle is incident from origin point $(0,0)$ with pisitive charge $q$, mass $m$, and speed $ …
qfzklm's user avatar
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7 votes
1 answer
1k views

How to introduce the electromagnetic field in Quantum Field Theory?

There are many ways to introduce the electromagnrtic field in Quantum Field Theory(QFT), such as canonical quantization method which introduces the creation and annihilation oprators by treating the a …
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11 votes
1 answer
1k views

Question about superconductivity

A long cylinder of radius $R$ is made from two different material. Its radius $r<r_0$ $(r_0<R)$ part is a material with superconducting transition temperature $T_1$, and its $r_0<r<R$ part is another …
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