I Experimenting with Spinor Rotations & Sign Changes

Click For Summary
A spinor, when rotated through 360 degrees, returns to its original direction but acquires a sign change, which is significant when comparing multiple spinors. This phase factor of -1 does not affect individual spinors but may influence interactions between them. The discussion raises the question of whether an experiment exists to observe this phase factor in electron interactions. While no such observation for electrons is noted, a notable experiment involving neutrons is referenced. The implications of spinor rotations and sign changes remain a topic of interest in quantum mechanics.
wnvl2
Messages
62
Reaction score
14
When a spinor is rotated through 360◦, it is returned to its original direction, but it also picks up an overall sign change. This sign has no consequence when spinors are examined one at a time, but it can be relevant when one spinor is compared with another. Is there an experiment to make an electron interact with another electron that has a fase factor of -1 because of that 'rotation'?
 
Physics news on Phys.org
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 53 ·
2
Replies
53
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
6K
Replies
26
Views
5K
  • · Replies 2 ·
Replies
2
Views
4K