2. The quantum states of a particle moving freely in a circle of radius r are described by Vn(0) = Ceiwno where C is a constant, 0 denotes angle, n the quantum state of the particle, and wn is constant for a given n. :0,±1,±2, ... is an integer identifying %3D a) Show that Þn(0) satisfies d0? b) Find wn such that bn(0 + 2r) = vn(0) c) Find the value of C such that | ,(0)l°d@ = 1

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