calculate the polarization vector and the rotation matrix of a spinor

/in /by

For the spinor la coss) x= leis sins) , calculate the polarization vector P and construct the matrix U_R, which rotates the state into 10 . Prove that the probability P_hat{n} of finding this particle to be in a state represented by the polarization vector hat{n} is Pn= 1/2trace|p(I + ñ :0)) = 1/2(1 + Pon) and show that this result agrees with expectations for ñ=P, ñ= -P, and IP .

 
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