Lecture 1: Welcome

Lecture 2: Elementary Mathematical Functions Used in Our Course

Lecture 3: Schrodinger Equation: Particle in a One Dimensional Box

Lecture 4: Particle in a One dimensional Box: Probabilities and Expectation Values

Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 1

Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 2

Lecture 6: Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions: Part I

Lecture 7: Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions: Part II

Lecture 8: Particle in a Two Dimensional Box (Infinite Barrier)

Lecture 9: Heisenberg s Uncertainty Principle

Lecture 10: Expectation Values and Postulates in Quantum Mechanics

Lecture 11: Problems and Solutions for Particle in One and Two Dimensional Boxes

Lecture 12: Linear Vector Spaces Matrix Representations?

Lecture 13: Linear Vector Spaces and Operators Dirac s Bracket Notation

Lecture 14: Simple Harmonic Oscillator Classical Hamiltonian

Lecture 15: Simple Harmonic Oscillator? Quantum Mechanical Solutions?

Lecture 16: Simple Harmonic Oscillator Wave Functions Probabilities and Average Values

Lecture 17: Simple Harmonic Oscillator Average Values for Position and Momentum

Lecture 18: Particle on a Ring The Quantum Model

Lecture 19: Particle on a Ring Expectation Values for Angular Momentum

Lecture 20: Coordinate Transformation

Lecture 21: Problems and Solutions for Harmonic Oscillator

Lecture 22 - Hydrogen Atom The Hamiltonian in Spherical Polar Coordinates

Lecture 23 - Hydrogen Atom Separation of the Schr?dinger Equation?

Lecture 24 - Hydrogen Atom Radial and Angular Solutions and Animations Part I?

Lecture 25 - Hydrogen Atom Radial and Angular Solutions and Animations Part II

Lecture 26 - Hydrogen Atom Radial Solutions and Probabilities

Lecture 27 - Power Series Method for Differential Equation? I

Lecture 28 - Hermites Differential Equation

Lecture 29 - Legendre and Associated Legendre Equation

Lecture 30 - Born Oppenheimer Approximation

Lecture 31 - Introduction to Angular Momentum

Lecture 32 - Spin ? Angular Momentum?

Lecture 33 - Spin Angular Momentum and Coupling of Two Spin 1/2 Angular Momenta

Lecture 34 - Coupling of Two Angular Momenta

Lecture 35 - Video Tutorial for Hermite polynomials and hydrogen atom Part 1

Lecture 36 - Video Tutorials Part 2

Lecture 37 - Variational Principle in Quantum Chemistry Linear superposition Principle

Lecture 38 - Introduction to Variational Principle in Quantum Chemistry

Lecture 39 - Variational Method Method of Lagrange Multipliers

Lecture 40 - Hydrogen Molecule Ion The Molecular Orbital Method

Lecture 41 - Hydrogen Molecule Ion Calculations and Results

Lecture 42 - Hydrogen Molecule The Valence Bond Method

Lecture 43 - Hydrogen Molecule Calculations and Molecular Orbital Method

Lecture 44: Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method Part 1

Lecture 45: Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method Part 2

Lecture 46: Introduction to Quantum Mechanical Perturbation Theory

Lecture 47: First Order Time Independent perturbation Theory for Non-Degenerate states

Lecture 48: First and Second Order Time Independent Perturbation Theory for NonDegenerate States

Lecture 49: First and Second Order Time Independent Perturbation Theory Simple Examples

Lecture 50: Time Independent Perturbation Theory for Degenerate States First Order

Lecture 51: General MO method for Homonuclear Diatomic Molecules

Lecture 52: General MO method for Heteronuclear Diatomic Molecules

Lecture 53: Introduction to Hybridization and Valence Bond for Polyatomic Molecules

Lecture 54: H?ckel Molecular Orbital Theory I

Lecture 55: H?ckel Molecular Orbital Theory II