3. Assume that a particle is confined to a box of length L, andthat the system wave function is
ψ(x)=sqrt(2/L)*sin[(π*x)/(L)]
(1) Is this state an eigenfunction of the momentum operator? Showyour work.
(2) Calculate the average value of the momentum
thatwould be obtained for a large number of measurements. Explain yourresult.
(3) Calculate the probability that the particle is found between0.31 L and 0.35 L.
