The normalized wavefunctions for a particle confined to move on a circle are () = (1/2) 1/2 e im , where m = 0, 1,

The normalized wavefunctions for a particle confined to move on a circle are ψ(φ) = (1/2π)^1/2e−^imφ, where m = 0, ±1, ±2, ±3,... and 0 ≤ φ ≤ 2π. Determine <φ>.