Consider a quantum system in the initial state ly (0) = |x,) at r = 0, and the Hamiltonian H = (252 0 written in the ΠΩ standard basis {12+). Iz-)}, and 2 a constant frequency. Let (r)) be the state of the system at later time 7. What is the probability that a measurement of S, at 1>0 yields +h/2? a. P (S, = +) (t) = [1 + 2 cos(r)] b. P (S,+) (1)= [1 + cos(20)] C. = P(S,+) (1)= [1 + sin(r)] d. P(S,+)(t)= |sin(r)| = e. P(S,+) (1)= [1 + cos(r)]

Consider a quantum system in the initial state ly (0) = |x,) at r = 0, and the Hamiltonian H = (252 0 written in the ΠΩ standard basis {12+). Iz-)}, and 2 a constant frequency. Let (r)) be the state of the system at later time 7. What is the probability that a measurement of S, at 1>0 yields +h/2? a. P (S, = +) (t) = [1 + 2 cos(r)] b. P (S,+) (1)= [1 + cos(20)] C. = P(S,+) (1)= [1 + sin(r)] d. P(S,+)(t)= |sin(r)| = e. P(S,+) (1)= [1 + cos(r)]