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Section A: Basics
A.1: Introduction
A.2: Elementary Quantum Theory
Supplement: Density Matrix Propagators
A.3: Introduction to Path Integrals
Supplement: The Fluctuation Determinant
Supplement: Spin Path Integrals
A.4: Slow Processes in Quantum Mechanics
A4.1: Elementary Results
(a) Time-dependent Perturbation Theory
(b) Adiabatic Limit & Berry Phase
(c) Transitions in the Adiabatic Regime
A.4.2: Born-Oppenhemer Approximation
A.5: Effective Hamiltonians & their Derivation
Section B: Models & Physical Applications
B1: Central Spin Models
(a): Spin-Boson model
(b): Central Spin model
(c): Applications of Central spin model: Qubits
Appendix: More extended discussion of Central Spin model
B2: 2-slit system
B3: The PISCES Model
B4: Particle on a lattice
Math supplementary material:
Math Supplement 1: Brief notes on Green functions
Math Supplement 2: Notes on Noise functionals
Math Supplement 3: Spin representations