LEC # | TOPICS | KEY DATES |
---|---|---|

1 | Historical Background, Photoelectric Effect | |

2 | Wave Nature of the Electron and the Internal Structure of an Atom | |

3 | Two-Slit Experiment, Quantum Weirdness | |

4 | Classical Wave Equation and Separation of Variables | |

5 | Quantum Mechanics: Free Particle and Particle in 1D box | Problem Set 1 due |

6 | 3-D Box and QM Separation of Variables | |

7 | Classical Mechanical Harmonic Oscillator | |

8 | Quantum Mechanical Harmonic Oscillator | Problem Set 2 due |

9 | The Harmonic Oscillator: Creation and Annihilation Operators | |

10 | The Time-Dependent Schrödinger Equation | |

11 | Wavepacket Dynamics for Harmonic Oscillator and PIB | Problem Set 3 due |

12 | Catch Up and Review, Postulates | |

Exam #1 | ||

13 | From H_{ij} Integrals to H Matrices I | |

14 | From H_{ij} Integrals to H Matrices II | Problem Set 4 due |

15 | Non-Degenerate Perturbation Theory I | |

16 | Non-Degenerate Perturbation Theory II: HO using a,a^{†} | |

17 | Rigid Rotor I. Orbital Angular Momentum | Problem Set 5 due |

18 | Rigid Rotor II. Derivation by Commutation Rules | |

19 | Spectroscopy: Probing Molecules with Light | |

Exam #2 | ||

20 | Hydrogen Atom I | |

21 | Hydrogen Atom II. Rydberg States | |

22 | Helium Atom | Problem Set 6 due |

23 | Many-Electron Atoms | |

24 | Molecular Orbital Theory I. Variational Principle and Matrix Mechanics | |

25 | Molecular Orbital Theory II. H_{2}^{+}, A_{2}, AB Diatomics | Problem Set 7 due |

26 | Qualitative MO Theory: Hückel | |

27 | Non-Degenerate Perturbation Theory III | |

28 | Modern Electronic Structure Theory: Basis Sets | Problem Set 8 due |

29 | Modern Electronic Structure Theory: Electronic Correlation | |

30 | Time-Dependent Perturbation Theory I. H is Time-Independent, Zewail Wavepacket | |

Exam #3 | ||

31 | Time-Dependent Perturbation Theory II. H is Time-Dependent: Two-Level Problem | |

32 | Intermolecular Interactions by Non-Degenerate Perturbation Theory | |

33 | Electronic Spectroscopy: Franck-Condon | |

34 | Electronic Spectroscopy and Photochemistry | Problem Set 9 due |

35 | δ-Functions, Eigenfunctions of X, Discrete Variable Representation | |

36 | Time Dependence of Two-Level Systems: Density Matrix, Rotating Wave Approximation | |

Final Exam |