Consider a composite state of an electron with total angular momentum j1 = 1/2 and a proton with angular momentum j2 = 3/2. Find all the eigenstates of |j1,j2;j,m⟩ as the linear combination of product states of angular momentum of electron and proton |j1,j2;m1,m2⟩. Give the values of Clebsch-Gordon coefficients you get from here. If the system is found in state |j1 = 1/2,j2 = 3/2;j = 1,m = −1⟩, what is the probability that j1z = −1/2 and what is the probability that j1z = 1/2

Consider a composite state of an electron with total angular momentum j1 = 1/2 and a proton with angular momentum j2 = 3/2. Find all the eigenstates of |j1,j2;j,m⟩ as the linear combination of product states of angular momentum of electron and proton |j1,j2;m1,m2⟩. Give the values of Clebsch-Gordon coefficients you get from here. If the system is found in state |j1 = 1/2,j2 = 3/2;j = 1,m = −1⟩, what is the probability that j1z = −1/2 and what is the probability that j1z = 1/2