variety
Nov1-09, 11:23 PM
1. The problem statement, all variables and given/known data
This isn't really the problem, but figuring this out will probably help me with the rest of the problem. I want to know what [\gamma^0, L_x] is.
2. Relevant equations
I know the commutation (or rather anticommutation) relations between the gamma matricies, and I know the relations between angular momentum, momentum, and position. Also \gamma^0=diag(1, 1, -1, -1).
3. The attempt at a solution
My guess is that [\gamma^0, L_x]=0 because that would make my original problem work out. But I don't know how to justify those because \gamma^0 doesn't ordinarily commute with any matrix.
This isn't really the problem, but figuring this out will probably help me with the rest of the problem. I want to know what [\gamma^0, L_x] is.
2. Relevant equations
I know the commutation (or rather anticommutation) relations between the gamma matricies, and I know the relations between angular momentum, momentum, and position. Also \gamma^0=diag(1, 1, -1, -1).
3. The attempt at a solution
My guess is that [\gamma^0, L_x]=0 because that would make my original problem work out. But I don't know how to justify those because \gamma^0 doesn't ordinarily commute with any matrix.