University of Amsterdam Polarization Vector and Rotation Matrix Paper

Published by admin at January 2, 2024

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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 $ñ=P, ñ= -P, and IP$ .