3d harmonic oscillator consider a 3d harmonic oscillator with the hamiltonian h given by 1 mw y mw2x* mwz2 (3) h 2. 2m da2 2m dy2 2m dz2 with the of your lecture note, class work sheet and the problem above, you solved for the ground, first and the second excited states of the 1d oscillator. below are the ground and first excited states of the 1d oscillator to remind you once again: ^o(x) = exp(-aa2) and 1(x) = xexp(-ar2). 1. determine the ground state energy eo of this 3d oscillator. write down the corresponding eigenfunction. what is the degeneracy of this state ? 4 points 2. determine the first excited state energy e1 of this 3d oscillator. what is the degeneracy of this state? explicitly write down the corresponding wave functions for the first excited state. 8 points 3. determine the energy e2 of the second excited state of this 3d oscillator. what is the degeneracy of this state ? explicitly write down all the wave functions for the second excited state.