1. Statement of Hamiltonian
  2. Physical Origins of the Model:
    • Multidimensional Tunneling
    • Electron Phonon Coupling in:
      • impurity/crystalline systems
      • intramolecular electron transfer in a polar fluid
  3. Initial conditions of state preparation and the Object of our (Computational) Desire: Time Evolution of the Reduced Density Matrix
  4. 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).

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