Atomic Structure

Preface

1 The Bohr atom

1.1 Spectral lines

1.2 Center of mass

1.3 Atomic units

1.4 Isotopes and exotic atoms

2 Quantum mechanics

2.1 Formalism

2.1.1 Commutator relations

2.2 Spin

2.2.1 The Stern-Gerlach experiment

2.2.2 Successive measurements

2.2.3 Spin space

2.3 Wave mechanics

2.3.1 The time dependent Schrodinger equation

2.3.2 Larmor precession

3 One Electron Atoms

3.1 Two-body systems

3.2 Schrodinger equation with a central potential

4 Multi-electron atoms and the periodic table

4.1 Identical particles

4.2 The periodic table

4.2.1 The orbital approximation

4.2.2 Properties of atoms and molecules

4.3 Approximate methods

4.3.1 The variational method

4.3.2 Time independent perturbation theory

4.3.3 Two electron ion

4.3.4 Helium states

5 The self consistent fi
eld approach

5.0.1 Hartree Method

5.0.2 Slater determinants

5.0.3 The Hartree-Fock approximation

Appendix A Vector spaces

Appendix B Some more mathematical results

Appendix C Variational Methods

Appendix D Angular momentum