Introductory Quantum Mechanics I

Lecture Notes

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