A particle of mass m is confined to a one-dimensional region 0≤x≤a. At the beginning, the normalized wave function is
Ψ(x,t=0) = √(8/5a) [ 1 + cos(πx/a)] sin(πx/a).
a) What is the wave function at a later time t=t0?.
b) What is the average energy of the system at t=0 and t=t0?
c) Find the probability that the particle is found in the left half of the box (0≤x≤a/2) at t=t0.
Micropore 