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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
JE|Y =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.

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