Question 2 A spin-1/2 particle is placed in a uniform magnetic field pointing in the z-direction. The Hamiltonian for this system is H = woSz. The spin-1/2 particle is initially in the quantum state |7 (t = 0)) = It)y. At some later time t the x-component of spin is measured. What is the probability that we measure the You may need to use the following: It ) * = =1+) +1-), sin 0 = e e -e is 2i cos ! _ e"te-if 2 O P+ (t) = 4 - +sin (wat) O P+ (t) = = + -sin (wot) O P+ (t) = 1 - cos (wat) O P+ (t) = = + -cos (wot)