Advanced Statistical Mechanics
- Page ID
- 5093
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)
- Calculation of observables from path integrals
- Calculation of spectra from perturbation theory
- Characterizing the Structure of Liquids
- Classical linear response theory
- Classical microstates, Newtonian, Lagrangian and Hamiltonian mechanics
- Classical virial theorem; Legendre transforms; the canonical ensemble
- Discretized and Continuous Path Integrals
- Distribution Function Theory
- Estimators, energy fluctuations, the isothermal-isobaric ensemble
- Expansion about the classical path and stationary phase
- Free-energy calculations
- Fundamentals of quantum statistical mechanics
- Liouville's Theorem, non-Hamiltonian systems, the microcanonical ensemble
- Perturbation theory and the van der Waals equation
- Postulates of Quantum Mechanics
- Quantum linear response theory
- Quantum time-dependent perturbation theory
- The Grand Canonical Ensemble
- The Langevin and Generalized Langevin equations