A particle of mass ** m** is confined to a one-dimensional region

**. At the beginning, the normalized wave function is**

*0≤x≤a**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*