“Show that
$$\begin{bmatrix} 1 \\ 1 \end{bmatrix} \text{ and } \begin{bmatrix} 1 \\ -1 \end{bmatrix}$$
are eigenvectors of the 2-well system Hamiltonian, and find the eigenvalues. ”
This SWBQ designs to be a small review for finding eigenvectors and eigenvalues, and also gives a glimpse into the general strategy for calculating the energies of eigenstates in the larger N-well system.