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I'm a bit befuddled about something my lecturer wrote:

[tex]

S^{\dagger}\sigma_{\alpha}R_{{\alpha}\beta}B_{\beta}S=R_{{\alpha}\beta}B_{\beta}S^{\dagger}\sigma_{\alpha}S

[/tex]

R is a 3x3 rotation matrix which transforms the magnetic field B between frames, sigma_alpha are the pauli matricies. S is a rotation matrix that acts on spin wave vectors

I don't understand wh one can simply move the RB term to the left. It seems to make sense since RB is a vector rotation and S sigma S is a spin rotation operator and so they should be written in this way but I just don't know why mathematically one can do that.

thanks

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# Relativistic QM though maybe more of a math question

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