1. (a) The hydrogen atom wave functions are written as Pnim: State the values of n, I, and m. State the relation between a physical quantity and each quantum number. At t = 0 the hydrogen atom is in the superposition state 1 Y(F, 0) = 100 + Af210 V3 where A is a real positive constant. Find A by normalization and determine the wave function at time t > 0. Find the average energy of the electron in eV given that the ground state energy is -13.6 eV. (b) For the wave function in part (a), determine the possible values of the total angular momentum of the electron if the electron spin is included. Hence, calculate the possible values of the magnetic moment of the atom.