James R. Chelikowsky 
Introductory Quantum Mechanics with MATLAB [PDF ebook] 
For Atoms, Molecules, Clusters, and Nanocrystals

Part 1 Theory
1 Introduction to quantum theory
2 One electron atoms
2.1 The Bohr atom
2.2 The Schrödinger equation
2.3 The electronic structure of atoms and the periodic table
3 Multi-electron systems: atoms and molecules
3.1 The variational principle
3.2 The Hartree approximation
3.3 The Hartree-Fock approximation
4 The electron gas
4.1 The free electron model
4.2 The Thomas-Fermi approximation
4.2 Exchange interactions
5 Density functional theory
5.1 The Hohenberg-Kohn-Sham Theory
5.2 The Kohn-Sham equation
6 Pseudopotential theory
Part 2 Numerical Methods
7 Methods for atoms
7.1 Variational methods
7.2 Integration methods
8 Methods for molecules and clusters
8.1 Basis set methods
8.2 Grid methods
8.3 Diagonalization methods
8.4 Filtering methods
9 MATLABR codes for atoms and molecules
Part 3 Applications
10 Atoms
10.1 Energy levels and orbitals
10.2 Ionization and affinity energies
10.3 Polarizabilities
11 Diatomic and Simple Molecues
11.1 Chemical trends and ionicity
11.2 Energy levels and orbitals
11.3 Binding energies and vibrational modes
12 Clusters
12.1 Special form of matter
12.2 The structure of clusters
12.2 Role of quantum confinement
12.2 Energy levels and orbitals
12.3 Binding energies and vibrational modes
Appendix
A Units
B Matlab codes
Bibliography

James Chelikowsky, Ph D, is director of the center for computational materials at the University of Texas Austin. His research is centered on computational physics in materials science and the application of quantum theory to real materials.