Let (0) and ø(0) be arbitrary functions of the angle 0 which have the property (0) = v(0 + 2n) and ø(0) = ¢(0 + 2n), since the angles 0 and 0 + 2n are physically identical. Show that the operator ÔN =...

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Extracted text: Let (0) and ø(0) be arbitrary functions of the angle 0 which have the property (0) = v(0 + 2n) and ø(0) = ¢(0 + 2n), since the angles 0 and 0 + 2n are physically identical. Show that the operator ÔN = i (0/d0) is Hermitian if 0 spans the angular range from 0 to 27 radians. Hint: Calculate the integral do o*(0) Ñ v(0) by parts to show that r27 2T do 4* (0) ÔÑ 4(Ð) = |. d0 [ÎÑ ø(0)]* v(0) .