:smile: get it ,there is a change which is important and very simple ,and it is until now that i realized it :
\sigma^{\mu}_{\alpha\beta}=\sigma^{\mu}^{T}_{\beta\alpha}
thanks a lot!
many thanks .it is my fault,i don`t express my question clearly,so
sigma is the 2*2 pauli matrix ,but subscript of the front two sigma matrixs in the first row is \beta ,in the second it changes to \delta,that is what i puzzled.
i can see the mean of "[]" in the first row,it is the anticommunicater between \gamma{\mu} and \gamma{\nu}, but what it mean in the second row and the third?
thanks
hi ,i see from a book su(2) has the form
U\left(\hat{n},\omega\right)=1cos\frac{\omega}{2}-i\sigmasin\frac{\omega}{2}
in getting the relation with so(3),why we choose \frac{\omega}{2},how about changing for \omega?
thank you