Consider the potential \(V(x)=V_{0} e^{-\alpha x^{2}}\). Calculate perturbatively the first two terms in the solutions \(\psi_{1}(x)\left(\sim e^{i k x}\right.\) at \(x=-\infty\), incoming) and \(\psi_{2}(x)\left(\sim e^{i k x}\right.\) at \(x=+\infty\), outgoing), if \(E \leq V_{0}\).