CHEM 327 Quantum Chemistry I
This course introduces the fundamental principles of quantum mechanics with an emphasis on concepts and methods relevant to chemistry and molecular systems. Topics include the axioms of quantum mechanics, the Schrödinger equation, bound and continuum states of simple model systems, and approximation methods such as variational and perturbation theory. The hydrogen atom is studied as a prototypical example for understanding atomic structure. Here are some useful and some interesting links for students:
1D Quantum Mechanics Java Applet. Very useful for visualizing wave functions, probability densities, and time-dependent evolution. Other related applets are also available on the same website.
MIT OpenCourseWare – Quantum Physics I & II Lecture videos and notes. Along with YouTube videos.
Jochen Autschbach's book on Quantum Chemistry. I believe we have access to the pdf of the chapters.
CHEM 422 Introduction to Statistical Thermodynamics
This course introduces the fundamental principles of statistical thermodynamics and establishes the connection between microscopic mechanics and macroscopic thermodynamic behavior. The course begins with a review of classical thermodynamics, including the fundamental equation, thermodynamic identities, Legendre transforms, and thermodynamic potentials. The maximum entropy principle is introduced as the basis of equilibrium statistical mechanics. Basic notions of probability theory are developed, including probability distributions, expectation values, fluctuations, and Gibbs entropy. Ensemble theory is then formulated through the microcanonical, canonical, and grand canonical ensembles. Partition functions are introduced as central generating functions for thermodynamic quantities, and their role in determining energy, entropy, pressure, and chemical potential is emphasized. The equivalence of ensembles in the thermodynamic limit is discussed.
MIT OpenCourseWare for Stat. Mech. : Graduate level, but might be useful
Leonard Susskind's lecture for Stat. Mech. : More introductory and the Boltzmann distribution part is really cool.
Here's another mathematical tool we use: Legendre transformation
An interesting read from Journal of Chemical Education about 2-state system and temperature
CHEM 450 Applied Quantum Chemistry