Lectures

Lecture notes for...

Lecture 1 -- Classical microstates, Newtonian, Lagrangian and Hamiltonian mechanics

Lecture 2 -- Liouville's Theorem, non-Hamiltonian systems, the microcanonical ensemble

Lecture 3 -- Classical virial theorem; Legendre transforms; the canonical ensemble

Lecture 4 -- Estimators, energy fluctuations, the isothermal-isobaric ensemble

Lecture 5 -- The grand canonical ensemble

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Lecture 6 -- Characterizing the structure of liquids

Lecture 7 -- Distribution function theory

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Lecture 8 -- Perturbation theory and the van der Waals equation

Lecture 9 -- Free-energy calculations

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Lecture 10 -- Postulates of Quantum Mechanics

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Lecture 11 -- Fundamentals of quantum statistical mechanics

Lecture 12 -- Discretized and continuous path integrals

Lecture 13 -- Expansion about the classical path and stationary phase

Lecture 14 -- Calculation of observables from path integrals

Lecture 15 -- Classical linear response theory

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Lecture 16 -- Quantum time-dependent perturbation theory

Lecture 17 -- Calculation of spectra from perturbation theory

Lecture 18 -- Quantum linear response theory

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Lecture 19 -- The Langevin and Generalized Langevin equations