3. An electron is in the state. (5) 4. What is the probability of measuring its spin to be up after the sequence of measurements: (i) ôz, ôz (ii) ôz, ôx, ôz. Write down all J,Jz > states that can be formed by two electrons, the first having an orbital angular momentum of 2 and the second with an orbital angular momentum of 1. Show that the number of states is the same whether you write it in the [J, Jz > basis, or whether you write it using |₁l2S1S2; m₁1 M12 ms1 ms2 >.

3. An electron is in the state. (5) 4. What is the probability of measuring its spin to be up after the sequence of measurements: (i) ôz, ôz (ii) ôz, ôx, ôz. Write down all J,Jz > states that can be formed by two electrons, the first having an orbital angular momentum of 2 and the second with an orbital angular momentum of 1. Show that the number of states is the same whether you write it in the [J, Jz > basis, or whether you write it using |₁l2S1S2; m₁1 M12 ms1 ms2 >.