- Statement of Hamiltonian
- Physical Origins of the Model:
- Multidimensional Tunneling
- Electron Phonon Coupling in:
- impurity/crystalline systems
- intramolecular electron transfer in a polar fluid

- Initial conditions of state preparation and the Object of our (Computational) Desire: Time Evolution of the Reduced Density Matrix
- Approximate Quantum Dynamics of the Spin-Boson Model for small "hopping matrix element":
- Short-time Dynamics: the Fermi Golden Rule
- (Heuristic) Method for Extending Short-time Dynamics to Long Times: Kinetic Master Equations (Gain-Loss equations)
- Evaluation of Golden Rule rate constants for the Spin-Boson Model (a Problem in Linearly Displaced Harmonic Oscillator Quantum dynamics).
- A Better Derivation of Kinetic Master Equations for the Spin-Boson Model (including Memory Effects): the NIBA (Non-Interacting Blip Approximation) for small hopping maxtrix elements.
- Some details of NIBA:
- the case of strong electron-phonon coupling: the Gaussian approximation and Marcus Theory.
- the case of the symmetric Spin Boson model and Ohmic Spectral Density: a survey of results (beyond the Golden Rule).