{{page>wiki:headers:hheader}} %% Instructions: %% 1. Replace "The Question" with the question. %% 2. Change qmswzzz everywhere (2x) to the basename of this file. %% 3. Upload the PDF and PPT versions of the question. %% (Make sure to use the same basename.) %% 4. Change xx in the 2-letter acronym in the course footer to reference %% the correct course. %% 5. Delete these instructions when done! ====== Showing Two Vectors are Eigenstates in a 2-Well System ====== ===== Prompt ===== ** "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. " ** ===== Context ===== This [[strategy:smallwhiteboard:|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. ===== Wrap Up ===== {{qmswzzz.ppt|Powerpoint slide}} \\\\ {{qmswzzz.pdf|PDF slide}} {{page>wiki:footers:courses:ppfooter}} {{page>wiki:footers:topics:qmfooter}}