I" 2. The Hamiltonian matrix for an electron bound to a dimer with bond length r, determined using a basis composed ofthe 5 states ofthe bare atoms, is given by: H : ('lr) 4:20)) Here, 51 and 52 are the energy levels for an electron in the bare atoms labeled 1 and 2, respectively. [a] [10 points] What energies might one measure for an electron bound to the dimer? [b] [30 points] Make three sketches. First, sketch the atomic eigenfunctions for the bare atoms along a line passing through the nuclei and assuming that the atomic basis states are 'l'iooO'l states of the respective atoms. Then, sketch the eigenfunction associated with the antibondfng state along a line passing through both atomic nuclei, assuming that E, > El and that (E2 El)/>> (2|V(r)|), but with (E2 El)/(2|V(r)|)