Recorded on March 03, 2014.

Index of Topics:
1:03 The Born-Oppenheimer Approximation
4:09 Notation
6:14 Born-Oppenheimer Approximation
7:55 The Wavefunction Factorizes
9:52 The Electronic Hamiltonian
11:06 Potential Surfaces
12:43 H2+
22:43 Variational Approach For H2+
28:39 Matrix Elements
32:06 The Energy Functional
34:13 Applying the Variational Principle
41:04 Back to H2+
42:28 Practice Problem 28

1. Introduction
2. Particles, Waves, the Uncertainty Principle and Postulates
3. More Postulates, Superposition, Operators and Measurement
4. Complementarity, Quantum Encryption, Schrodinger Equation
5. Model 1D Quantum Systems - "The Particle In a Box"
6. Quantum Mechanical Tunneling
7. Tunneling Microscopy and Vibrations
8. More on Vibrations and Approximation Techniques
9. Potentials + Quantization in Two Spatial Dimensions
10. Particles on Rings and Spheres... A Prelude to Atoms
11. Particle on a Sphere, Angular Momentum
12. Spin, The Vector Model and Hydrogen Atoms
13. Hydrogen Atoms: Radial Functions & Solutions
14. Atomic Spectroscopy Selection Rules, Coupling, and Terms
15. Hydrogen Wavefunctions, Quantum Numbers, Term Symbols
16. Energy Level Diagrams, Spin-Orbit Coupling, Pauli Principle
17. Approximation Methods: Variational Principle, Atomic Units
18. The Hydride Ion (Continued): Two-Electron Systems
19. The Hydride Ion (Try #3!) The Orbital Philosophy
20. Hartree-Fock Calculations, Spin, and Slater Determinants
21. Bigger Atoms, Hund's Rules and the Aufbau Principle
22. The Born-Oppenheimer Approximation and H2+
23. LCAO-MO Approximation Applied to H2+
24. Molecular Orbital: The Virial Theorem in Action
25. Optimizing H2+ Molecular Orbital, H2, & Config Interaction
26. Qualitative MO Theory
27. CH4 Molecular Orbitals and Delocalized Bonding
28. What We've Covered: Course Summary

This course provides an introduction to quantum mechanics and principles of quantum chemistry with applications to nuclear motions and the electronic structure of the hydrogen atom. It also examines the Schrödinger equation and study how it describes the behavior of very light particles, the quantum description of rotating and vibrating molecules is compared to the classical description, and the quantum description of the electronic structure of atoms is studied.