Is the Invariance of Physical Laws Linked to a Symmetry Group Structure?

etothey
Messages
22
Reaction score
0

Homework Statement


The invariance of physical laws to a coordinate change suggests a symmetry group structure. Can the operations of cordinate transformation be written as group operations? What is the group?


Homework Equations





The Attempt at a Solution



At the moment I do not really know how to start the question, hint perhaps?
 
Physics news on Phys.org
What is the context of this question (book reference, for example) ? Special relativity, general relativity, QFT ?
 
Thread 'Need help understanding this figure on energy levels'

Thread 'Need help understanding this figure on energy levels'

This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
View full post »
Thread 'Understanding how to "tack on" the time wiggle factor'

Thread 'Understanding how to "tack on" the time wiggle factor'

The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
View full post »

Similar threads

Massless theories can be conformally invariant
Replies
1
Views
2K
I Noether's second theorem: two questions
Replies
7
Views
3K
A What's the relationship between RMS framework and the Lorentz group?
Replies
0
Views
1K
How Does Translational Invariance Influence Variable Definitions in Physics?
Replies
11
Views
2K
Canonical invariance vs. Lorentz invariance
Replies
2
Views
2K
Left invariant vector field under a gauge transformation
Replies
1
Views
1K
QFT, Noether and Invariance, Complex fields, Equal mass
Replies
8
Views
2K
Standard model + symmetry questions
Replies
4
Views
2K
I Explore Spacetimes, Metrics & Symmetries in Relativity Theory
Replies
7
Views
2K
Is This Effect Galilean or Lorentz Invariant?
Replies
25
Views
3K

Hot Threads

Recent Insights

Back
Top