Course Content
1. Review - Dirac notation, superposition of states, matrix mechanics
2. Born-Oppenheimer approximation, nuclear and electronic Hamiltonians, atomic units, potential energy surfaces, reaction coordinates, transition states, vibrational motion
3. Electronic wavefunctions, Slater determinants, Pauli Principle, molecular orbitals, basis sets, symmetry
4. Variational theorem, Hartee-Fock self-consistent-field method, Koopman's and Brillouin's theorems
5. Semiempirical methods
6. Electron correlation methods, Moller-Plesset perturbation theory, full configuration interaction, coupled-cluster methods, multi-configuration self-consistent-field method, multi-reference configuration interactions
7. Density functional theory, Hohenberg-Kohn theorems, Kohn-Sham method, discussion of various functionals
8. Comparison of different methods, accuracies, convergence issues Computational Requirements
Students will be required to perform calculations using a software package called WebMO. This requires access to a computer with a java-enabled web browser.