An Atom has zero orbital angular momentum ad a spin quantum number 1/2. It is found to be in the |↑z> state. A measurement is performed on the value of its angular momentum in a direction at an angle Θ (theta) to the z-axis. Show that the probability of its angular momentum being parallel to this new axis is cos2(Θ/2). An atom has zero orbital angular momentum and a spinquantum number . It is found to be in the | †z) state.A measurement is performed on the value of its angularmomentum in a direction at an angle 0 to the z axis.Show that the probability of its angular momentum beingparallel to this new axis is cos20/2).

The total angular momentum of the atom is, J=L+sJ=0+h2J=h2 (1) The direction n along…

n Atom has zero orbital angular momentum ad a spin quantum number 1/2. It is found to be in the |↑z> state. A measurement is performed on the value of its angular momentum in a direction at an angle Θ (theta) to the z-axis. Show that the probability of its angular momentum being parallel to this new axis is cos2(Θ/2).

n Atom has zero orbital angular momentum ad a spin quantum number 1/2. It is found to be in the |↑z> state. A measurement is performed on the value of its angular momentum in a direction at an angle Θ (theta) to the z-axis. Show that the probability of its angular momentum being parallel to this new axis is cos2(Θ/2).