A free particle of mass m in a one-dimensional box with infinite walls at x=0 and x=L, given by the potential function:
V(x)= 0 for x =0 < x < L and V(x) =∞ for x<0and x>L
The wavefunction is:
wavefunctionn(x)= Nsin(nπx/L) for x =0<0 and x>L
Question: Derive the expectation values (average values) of x, x2, px, p2x for the particle with n=2.