All Questions
Tagged with galilean-relativity maxwell-equations
14 questions
0
votes
0
answers
84
views
Galilean transformation of magnetic and electric field with magnetic monopole
Starting from the lorentz force in presence of a magnetic charge:
$$\vec{F} = q_e(\vec E+\vec v\times \vec B)+q_m(\vec B - \vec v\times\vec E)\tag 1$$
by galilean invariance, we should have $\vec F =...
- 1,748
4
votes
1
answer
251
views
Understanding tensor and covariance
I'm really struggling to understand the use of tensors when we want to have a covariant equation.
From what I understand, if we write an equation using tensors only, then the physics behind it will be ...
- 41
3
votes
1
answer
113
views
Simultaneous Lorentz and Galilean invariance
The introduction of the Lorentz transformation is usually motivated by the Galilean failure when it comes to Maxwell's equations.
Are there physical systems that exhibit both Lorentz and Galileo ...
- 352
7
votes
0
answers
122
views
What would Maxwell's equations look like in a universe which followed Galilean transformations?
I was wondering how the electromagnetic force would behave in a Gallilean transformation universe. Would the magnetic force be non-existent?
We know that Gallilean transformations are Lorentz ...
- 6,742
8
votes
4
answers
2k
views
Why are Maxwell's equations correct and not Newton's laws of motion?
In many books, while introducing Special relativity it is shown that Maxwell's equations are not consistent with Galilean transformations. So either Galilean transformations (and consequently Newton's ...
- 1,108
2
votes
0
answers
47
views
Maxwell and Newton [duplicate]
Has anyone tried to modify Maxwell's electromagnetic field theory so that it is invariant under the Galilean transformation?
- 37
4
votes
2
answers
1k
views
How does one check whether an equation is Lorentz Invariant or Galilean Invariant?
As a physics student, I hear this term a lot that this equation is Lorentz Invariant or galilean Invariant e.g Dirac equation is Lorentz Invariant. Even in a non-linear pde class e.g the KdV equation ...
- 171
3
votes
1
answer
301
views
Differences between the conformal group and the Schrödinger group?
Facts:
The Maxwell (free) equations (4d) are invariant under the 15 dimensional conformal group.
The free Schrödinger equation in 3d is invariant under the 15 dimensional group "called" Schrödinger ...
- 6,727
41
votes
1
answer
11k
views
What does a Galilean transformation of Maxwell's equations look like?
In the 1860's Maxwell formulated what are now called Maxwell's equation, and he found that they lead to a remarkable conclusion: the existence of electromagnetic waves that propagate at a speed $c$, ...
- 2,989
1
vote
1
answer
1k
views
Why are Maxwell's equations not Galilean invariant? [closed]
So i am writing an essay on the conflict between galilean invarience and maxwell's electromagnetism. I am struggling to come up with 3 evidences that they conflict because I have a mediocre ...
10
votes
2
answers
7k
views
Galilean invariance of a subset of Maxwell equations
I read in Feynman's proof of Maxwell equations the statement that the subset of Maxwell equations comming from the Bianchi identity:
$$
\nabla \cdot {\bf B} = 0, \quad \nabla \times {\bf E} + \frac{1}...
- 1,017
3
votes
2
answers
24k
views
Lorentz and Galilean transformation
I read about Lorentz and Galilean transformation in a book of modern physics some days back, but couldn't clearly understand the difference between the two?
Also it was stated there that maxwell's ...
- 63
5
votes
1
answer
2k
views
Faraday's Law and Galilean Invariance
In Jackson's text he says that Faraday law is actually:
$$
\oint_{\partial \Sigma} \mathbf{E} \cdot \mathrm{d}\boldsymbol{\ell} = -k\iint_{\Sigma} \frac{\partial \mathbf B}{\partial t} \cdot \mathrm{...
- 4,014
5
votes
4
answers
4k
views
Maxwell equations invariant under Lorentz transformation but not Galilean transformations
Why Maxwell equations are not invariant under Galilean transformations, but invariant under Lorentz transformations? What is the deep physical meaning behind it?
- 2,489