If you're trying to see that I know how to do the most basic infinite square well problem , yes, and I've done it for various situations (shifted wells and whatnot)
\Psi(x,t)=c_{n}\frac{√2}{√L}sin(\frac{n\pi*x}{L})(e^{\frac{-in^2\pi^{2}ht}{2mL^{2}}})
where, in ψ(x,t), h = h-bar (didn't know...