Introduction to non-relativistic quantum mechanics. Summary of classical mechanics, postulates of quantum mechanics and operator formalism, stationary state problems (including quantum wells, harmonic oscillator, angular momentum theory and spin, atoms and molecules, band theory in solids), time evolution approximation methods for time independent and time dependent interactions including electromagnetic interactions, scattering.
Continuation of non-relativistic quantum mechanics. Advanced angular momentum theory, second quantization, non-relativistic quantum electrodynamic,s advanced scattering theory, density matrix formalism, reservoir theory.
Formalism of wave propagation in nonlinear media; susceptibility tensor; second harmonic generation and three-wave mixing; phase matching; third order nonlinearities and four-wave mixing processes; stimulated Raman and Brillouin scattering. Special topics: nonlinear optics in fibers, including solitons and self-phase modulation.