2. Consider a system in the state (0, 4) = ½-½˜¯¹ (0, 4) + Y°(0,¢) +¼Y¹(0,¢). (i) if Lz is measured, what values would you get and with what probabilities? (ii) For Hydrogen atoms in a strong magnetic field, there are 6 component lines for a P 1/2 to 2S transition. Although there are 6 components, there are only three distinct energy transitions. Write down which transitions correspond to each spectral line. (You can assume the direction of the spin of the electron does not change in the transition.)

2. Consider a system in the state (0, 4) = ½-½˜¯¹ (0, 4) + Y°(0,¢) +¼Y¹(0,¢). (i) if Lz is measured, what values would you get and with what probabilities? (ii) For Hydrogen atoms in a strong magnetic field, there are 6 component lines for a P 1/2 to 2S transition. Although there are 6 components, there are only three distinct energy transitions. Write down which transitions correspond to each spectral line. (You can assume the direction of the spin of the electron does not change in the transition.)