Write and solve the Schrödinger equation in 1, 2 or 3 dimensions for 1, 2, or N particles for typical model problems and describe the meaning and significance of the solutions.

Interpret the wavefunctions in #1 by calculating probability in a region, expectation values and matrix elements of Hermitian operators corresponding to physical observables.

Use as necessary to solve problems: commutators of operators, basis set expansions, perturbation theory (degenerate and nondegenerate) and the variational principle.

Describe how the Hartree-Fock SCF method works and use Slater determinants of spin and spatial eigenfunctions to build anti-symmetric atomic wavefunctions