Syllabus
1. Repetition: field quantization in Coulomb calibration, states with a sharp number of photons
2. Fundamentals of classical electrodynamics in matter; minimal coupling (Hamiltonian in the form p.A), dipole and multi-pole approximation (derivation of Hamiltonian with field and dipole moment)
3. Life of excited state, Einstein coefficients
4. Introduction of coherent states, description of black body radiation using density matrix (mixed states), short pulses
5. Interaction of coherent states with matter, semiclassical approximation and its validity in spectroscopy
6. Linear response and its relation to the shape of the absorption and emission line
7. Fault and non-fault calculations of absorption from wave function and (reduced) density matrix, analytical averaging over orientations in homogeneous sample (non-secular dynamics)
8. Circular dichroism
9. Introduction to nonlinear response and N-wave mixing, classification of perturbation spectroscopic methods according to order
10. State and dynamics of molecular system after photo-induced excitation, role of temporal coherence of light, role and significance of Condon approximation
11. Multi-photon spectroscopy and Raman spectroscopy from the point of view of response theory
Annotation
Detailed derivation of the relationship between microscopic theory of molecular systems (quantum mechanics) and spectroscopy, theoretical foundations of linear optical methods and introduction to nonlinear spectroscopy from macroscopic point of view.