What happens when you commute Sx and Sz in spin operators?

In summary, spin commutation relations are mathematical equations that describe the interaction of different components of a particle's spin angular momentum. They are significant in understanding the behavior of subatomic particles and play a crucial role in the development of quantum mechanics. Unlike other commutation relations, they describe the quantum property of spin angular momentum. These relations have been experimentally verified and can be affected by external factors like magnetic fields.
  • #1
Dennmac
2
3
So we know [Sz, Sx] = ihbar Sy (S with hats on) so what happens if you get [Sx, Sz]? Is it the same result? Just trying to work out if I've gone wrong somewhere
 
Physics news on Phys.org
  • #2
Dennmac said:
So we know [Sz, Sx] = ihbar Sy (S with hats on) so what happens if you get [Sx, Sz]? Is it the same result? Just trying to work out if I've gone wrong somewhere
In general ##[A, B] = - [B, A]##. The proof is as easy as they come.
 
  • Like
Likes Meir Achuz, vanhees71 and Dale
  • #3
Facepalm...thank you! Letters are swimming in front my eyes, I think it's time for a break!
 
  • Like
Likes vanhees71, PeroK and Dale

Similar threads

  • Quantum Physics
Replies
7
Views
2K
  • Quantum Physics
Replies
6
Views
2K
  • Quantum Physics
Replies
1
Views
2K
  • Quantum Physics
Replies
4
Views
3K
Replies
4
Views
1K
Replies
19
Views
1K
Replies
4
Views
1K
  • Quantum Physics
Replies
1
Views
2K
  • Advanced Physics Homework Help
Replies
3
Views
1K
Replies
4
Views
3K
Back
Top