5. Assume that the electron in a hydrogen atom is confined to move only in a circle of radius a in the xy plane. Show that the separate Schrodinger equation for o becomes: 1 d2Y 2m, a do? |E|¥ = 0 where o is the angle that describes its position on the circle. Explain why it is similar to Bohr's assumption. Solve this equation for W. Find the allowed energies and the angular momentum. Compare your results with Bohr's theory.

5. Assume that the electron in a hydrogen atom is confined to move only in a circle of radius a in the xy plane. Show that the separate Schrodinger equation for o becomes: 1 d2Y 2m, a do? |E|¥ = 0 where o is the angle that describes its position on the circle. Explain why it is similar to Bohr's assumption. Solve this equation for W. Find the allowed energies and the angular momentum. Compare your results with Bohr's theory.