Introductory Quantum Mechanics I >> Content Detail

Calendar / Schedule


1-4Experimental Evidence for Quantum Mechanics

Polarization of Light

Single Molecule Fluorescence
5-7The Machinery of Quantum Mechanics

Hilbert Space

State Vectors


Operators and Eigenvalues
8-12Exactly Solvable Problems

Operators and States in Real Space

Harmonic Oscillator

Position Representation and Wave Mechanics

Piecewise Constant Potentials
Problem set 1 due after Lec #8

Problem set 2 due after Lec #11

13-15Matrix Mechanics

Vector Representation of States

Matrices as Operators

Interesting Matrix Properties

Discrete Variable Representation

Variational Method
Problem set 3 due after Lec #14

Problem set 4 due after Lec #17
16-18Time Dependence

Energy Eigenstates and Stationary States

The Propagator

Time Dependence of Average Values

Matrix Representations of the Propagator

Example: Inversion of the Ammonia Molecule
Midterm exam handed out after Lec #18
19-20Angular Momentum


Commutation Relations

21-22Central Potentials

Spherical Polar Coordinates

Orbital Angular Momentum Operators

Spherical Harmonics

The Radial Equation

Hydrogen-like Atoms

Electron Spin
Midterm exam due after Lec #21
23-24Addition of Angular Momenta

Coupled and Uncoupled Bases

Recursion Relations

The Triangle Rule
25Wigner-Eckart Theorem

Spherical Tensors
26-28Perturbation TheoryProblem set 5 due after Lec #27
29-31Identical Particles

The Product Basis

Symmetry Under Exchange

Two Electron Atoms


Perturbation Theory

Configuration Interaction
Problem set 5 due after Lec #31
32-34The Born-Oppenheimer Approximation

The Adiabatic Approximation

The Coupled Channel Hamiltonian

Non-Adiabatic Effects

Diabatic States

Electron Transfer
35-38The Hydrogen Molecule

Minimal Atomic Orbital Basis

Molecular Orbital Picture

Valence Bond Picture
Problem set 7 due after Lec #35

Final exam after Lec #38


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