Question 1 A spin-1/2 particle is placed in a uniform magnetic field pointing in the x-direction. The Hamiltonian for this system is H = woSx. If the spin-1/2 particle is initially in the quantum state 170 (t = 0) ) = 1+), what is the quantum state at a later time t? You may need to use the following: Al- ). O ly (t) ) = e-imot/ 21 + ) + erat / 21-) Oly (t ) ) = fe int/2| + )+ 1 eint/21-) x O |4(t)) = 1 e iwat / 2 + ) + 1 erwot /21-) O |7 (t ) ) = e-wot/21 +)