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Introduction to quantum chemistry by Julien Toulouse
This note gives a detailed exposition to quantum chemistry, starting with the quantum mechanics of one electron and extending to systems with two or more electrons. It explains in detail how the principles of quantum mechanics are applied to the description of atoms and molecules, including detailed discussions of the Schrodinger equation and how it can be applied in simple systems. Material offers insight into how quantum chemistry methods evolve when applied to multi-electron systems, and thus is a good springboard for more advanced topics, including molecular orbital theory and electronic structure methods. The note would be especially suitable for those who have started taking quantum chemistry and wish to become familiarized with the foundation of quantum mechanical descriptions of matter.
Author(s): Julien Toulouse
46 Pages 
Quantum Chemistry by Mark S. Gordon
This note deals with the basics of quantum chemistry, beginning with introductory theory and methods. It covers the Schrödinger equation, the Hartree-Fock approach, the use of basis sets and pseudopotentials. This, along with more advanced topics such as Density Functional Theory (DFT), multiconfigurational self-consistent field (MCSCF) methods, as well as techniques for performing calculations for excited states, introduces solvation models, and global optimization methods, among other things, and discusses in some detail the GAMESS package in computational chemistry. The book provides a good framework for beginners, while advanced students can find appropriate theoretical backbones to support their practical quantum chemical research.
Author(s): Mark S. Gordon
NA Pages
Advanced Quantum Chemistry by Patrik R. Callis
This note is concerned with the application of quantum mechanics to many-electron systems like atoms and molecules. Stationary as well as time-dependent states have been covered, emphasizing in particular electronic and vibrational states. The following topics have been dealt with: the necessity of quantum mechanics, properties of the wavefunction, kinetic energy, tunneling, and the variation principle. It includes applications of symmetry and group theory in quantum mechanics and incorporates them with the Schrödinger equation. It also includes time-dependent quantum chemistry-including propagation of density matrices and time evolution of probability distributions. The target of the note is aimed at those who seek to understand the complexities of many-body systems in quantum chemistry.
Author(s): Patrik R. Callis
NA Pages