x = (a) = ax + + bx- a+b a- x = + 1. Suppose a spin 1/2 particle is in the state: x = 2 What are the probabilities of getting spin-up (eigenvalue) and spin-down if Sx and Sz are measured, 2. For the same state, show that the expectation value for Sx is consistent with: (1-i) = (8) - x 18 x = ( * ) ( ) ("^) - 3 2 (1+i)/√√6 21√√6

x = (a) = ax + + bx- a+b a- x = + 1. Suppose a spin 1/2 particle is in the state: x = 2 What are the probabilities of getting spin-up (eigenvalue) and spin-down if Sx and Sz are measured, 2. For the same state, show that the expectation value for Sx is consistent with: (1-i) = (8) - x 18 x = ( * ) ( ) ("^) - 3 2 (1+i)/√√6 21√√6