1.1 Recap of quatum theory using the harmonic oscillator as an example
1.2 time-dependent Schrodinger equation
1.3 Perturbation theory, time ordering
1.4 Alternative representations
2.1 Introduction to annhilation/creation operators.
2.2 Details of the Hamiltonian and derivation of Fermi Golden Rule
3.1 Motivation for time-dependent formalism
3.2 Gaussian wavepackets
3.3 Propagation of general wavepackets
3.4 Many-dimensional problems: the time-dependent Hartree
formalism
3.5 Examples on electronic absorption and Raman spectroscopy
3.5.1 Lineshapes in harmonic environments
3.5.2 Anharmonic effects
4. Electron transfer reactions
4.1 Introduction to physical models
4.2 Semi-classical Marcus theory
4.3 Quantum formalisms for electron transfer in condensed phase:
path integral methods (spin-boson model)
4.4 Redfield theory of two-state systems
4.5 Electron transfer in multi-level systems: Quantum wires
(If we still have time ....)
5. Time-dependent surface scattering
5.1 Photodesorption of surface molecules
5.2 Scattering of atoms from surfaces
2. A checkerboard algorithm to study electron transport in star-shaped polymers
3. comparing Gaussian and exact propagation methods for predicting electronic absorption spectra
4. Write a simple diffusion Monte Carlo code to study simple quantum mechanical problems
5. Use a path-integral code to study the effects of the surrounding medium on electron transfer.
6. Examine the effects of excited state inter-system crossing on electronic spectra.
7. Examine the validity of the Time-dependent Hartree approximation in
8. Use a time-dependent Hartree method to study desorption of molecules on surfaces.