Courses:

Introductory Quantum Mechanics I >> Content Detail



Lecture Notes



Lecture Notes

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Lec #TOPICS
1-4Experimental Evidence for Quantum Mechanics (PDF)

Polarization of Light

Single Molecule Fluorescence
5-7The Machinery of Quantum Mechanics (PDF)#

Hilbert Space

State Vectors

Bra-Ket

Operators and Eigenvalues
8-12Exactly Solvable Problems (PDF)#

Operators and States in Real Space

Harmonic Oscillator

Position Representation and Wave Mechanics

Piecewise Constant Potentials
13-15Matrix Mechanics (PDF)

Vector Representation of States

Matrices as Operators

Interesting Matrix Properties

Discrete Variable Representation

Variational Method
16-18Time 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
19-20Angular Momentum (PDF)

Rotations

Commutation Relations

Eigenstates
21-22Central Potentials (PDF)#

Spherical Polar Coordinates

Orbital Angular Momentum Operators

Spherical Harmonics

The Radial Equation

Hydrogen-like Atoms

Electron Spin
23-24Addition of Angular Momenta (PDF)#

Coupled and Uncoupled Bases

Recursion Relations

The Triangle Rule
25Wigner-Eckart Theorem (PDF)

Spherical Tensors
26-28Perturbation Theory (PDF)#
29-31Identical Particles (PDF)#

The Product Basis

Symmetry Under Exchange

Two Electron Atoms

Hartree-Fock

Perturbation Theory

Configuration Interaction
32-34The Born-Oppenheimer Approximation (PDF)#

The Adiabatic Approximation

The Coupled Channel Hamiltonian

Non-Adiabatic Effects

Diabatic States

Electron Transfer
35-38The Hydrogen Molecule (PDF)#

Minimal Atomic Orbital Basis

Molecular Orbital Picture

Valence Bond Picture

 








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