Chapter 7, Problem 93CP

Suppose an infinite square well extends from $-L/2$ to $+L/2$ . Solve the time-independent Schrödinger's equation to find the allowed energies and stationary states of a particle with mass m that is confined to this well. Then show that these solutions can be obtained by making the coordinate transformation $x\text{'}=x-L/2$ for the solutions obtained for the well extending between 0 and L.