# Dirac Gamma Matricies and Angular Momentum Commutation Relations

1. Nov 1, 2009

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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.