Explain the electric and magnetic properties of radiation, molecules and bulk matter and solve problems related to these properties.
Solve time-dependent quantum mechanical problems and apply these solutions to spectroscopy where light is the time-dependent perturbation.
Explain angular momentum as possessed by atomic or molecular systems, various descriptions of how angular momentum can be coupled, and how conservation of angular momentum is important to spectroscopy.
Apply solutions of the Schrödinger equation for simple systems (particle in a box, rigid rotor, harmonic oscillator, etc) to real systems (vibrational, rotational, and electronic energy states) for use in determining the energy of stationary states.
Explain the origin of selection rules and derive electric and magnetic dipole, quadrupole, etc. selection rules for simple model quantum systems.
Use symmetry arguments, including group theory and parity, to simplify the interpretation and explanation of atomic and molecular spectra.
Use solutions to the model systems and the selection rules the predict spectra for atomic and molecular systems.
Fit experimentally obtained spectra to the mathematical models to obtain physical constants.