4031/4 The harmonic oscillator eigenfunction, ; (x) = (**) xe-ax/2where a = (a) Find (x2) for an oscillator in this state, and express your result in terms of u, 0, and . (b) In an eigenstate it is always true that (T) = (V) for a harmonic oscillator. If I = 1p2 and V = { um? 82, find (p2) when the system is in the state 11 (x). (Note: You can use the result found in part (a), or compute it directly from the form of the operator p.) = 241 4031/4 The harmonic oscillator eigenfunction, ; (x) = (**) xe-ax/2where a = (a) Find (x2) for an oscillator in this state, and express your result in terms of u, 0, and . (b) In an eigenstate it is always true that (T) = (V) for a harmonic oscillator. If I = 1p2 and V = { um? 82, find (p2) when the system is in the state 11 (x). (Note: You can use the result found in part (a), or compute it directly from the form of the operator p.) = 241