Lec # | TOPICS |
---|---|

1-4 |
Experimental Evidence for Quantum Mechanics (PDF)
Polarization of Light Single Molecule Fluorescence |

5-7 |
The Machinery of Quantum Mechanics (PDF)
Hilbert Space State Vectors Bra-Ket Operators and Eigenvalues |

8-12 |
Exactly Solvable Problems (PDF)
Operators and States in Real Space Harmonic Oscillator Position Representation and Wave Mechanics Piecewise Constant Potentials |

13-15 |
Matrix Mechanics (PDF)
Vector Representation of States Matrices as Operators Interesting Matrix Properties Discrete Variable Representation Variational Method |

16-18 |
Time Dependence (PDF)
Energy Eigenstates and Stationary States The Propagator Time Dependence of Average Values Matrix Representations of the Propagator Example: Inversion of the Ammonia Molecule |

19-20 |
Angular Momentum (PDF)
Rotations Commutation Relations Eigenstates |

21-22 |
Central Potentials (PDF)
Spherical Polar Coordinates Orbital Angular Momentum Operators Spherical Harmonics The Radial Equation Hydrogen-like Atoms Electron Spin |

23-24 |
Addition of Angular Momenta (PDF)
Coupled and Uncoupled Bases Recursion Relations The Triangle Rule |

25 |
Wigner-Eckart Theorem (PDF)
Spherical Tensors |

26-28 | Perturbation Theory (PDF) |

29-31 |
Identical Particles (PDF)
The Product Basis Symmetry Under Exchange Two Electron Atoms Hartree-Fock Perturbation Theory Configuration Interaction |

32-34 |
The Born-Oppenheimer Approximation (PDF)
The Adiabatic Approximation The Coupled Channel Hamiltonian Non-Adiabatic Effects Diabatic States Electron Transfer |

35-38 |
The Hydrogen Molecule (PDF)
Minimal Atomic Orbital Basis Molecular Orbital Picture Valence Bond Picture |

## Lecture Notes

## Course Info

##### Topics

##### Learning Resource Types

*grading*Exams with Solutions

*notes*Lecture Notes

*assignment_turned_in*Problem Sets with Solutions