Imagine a semi-classical birdcage of radius R with N regularly spaced bars individually separated by a spacing a. Now imagine there is a linear light source centered along the cylinder's axis z. Use the dual wave/particle nature of light to show that angular momentum is quantized in the scattered light leaving the cage. I'm having trouble starting this problem up. I think I'll have to solve some version of Schrodinger's equation, but I'm not sure. I thought of using Bragg's law, nλ = 2dsinθ, where I would set d = a in this case and try to figure out the case where n = 1. Can I assume a is quantized and have a = 2πR/N? I'm kind of lost so any help starting this problem up would be of great help.