Quantum Mechanics I

Lecture 1 - Quantum Mechanics – An Introduction

Lecture 2 - Linear Vector Spaces - I

Lecture 3 - Linear Vector Spaces - II: The two-level atom

Lecture 4 - Linear Vector Spaces - III: The three-level atom

Lecture 5 - Postulates of Quantum Mechanics - I

Lecture 6 - Postulates of Quantum Mechanics - II

Lecture 7 - The Uncertainty Principle

Lecture 8 - The Linear Harmonic Oscillator

Lecture 9 - Introducing Quantum Optics

Lecture 10 - An Interesting Quantum Superposition: The Coherent State

Lecture 11 - The Displacement and Squeezing Operators

Lecture 12 - Exercises in Finite Dimensional Linear Vector Spaces

Lecture 13 - Exercises on Angular Momentum Operators and their algebra

Lecture 14 - Exercises on Quantum Expectation Values

Lecture 15 - Composite Systems

Lecture 16 - The Quantum Beam Splitter

Lecture 17 - Addition of Angular Momenta - I

Lecture 18 - Addition of Angular Momenta - II

Lecture 19 - Addition of Angular Momenta - III

Lecture 20 - Infinite Dimensional Linear Vector Spaces

Lecture 21 - Square-Integrable Functions

Lecture 22 - Ingredients of Wave Mechanics

Lecture 23 - The Schrodinger equation

Lecture 24 - Wave Mechanics of the Simple Harmonic Oscillator

Lecture 25 - One-Dimensional Square Well Potential: The Bound State Problem

Lecture 26 - The Square Well and the Square Potential Barrier

Lecture 27 - The Particle in a one-dimensional Box

Lecture 28 - A Charged Particle in a Uniform Magnetic Field

Lecture 29 - The Wavefunction: Its Single-valuedness and its Phase

Lecture 30 - The Central Potential

Lecture 31 - The Spherical Harmonics

Lecture 32 - Central Potential: The Radial Equation

Lecture 33 - Illustrative Exercises - I

Lecture 34 - Illustrative Exercises - II

Lecture 35 - Ehrenfest's Theorem

Lecture 36 - Perturbation Theory - I

Lecture 37 - Perturbation Theory - II

Lecture 38 - Perturbation Theory - III

Lecture 39 - Perturbation Theory - IV

Lecture 40 - Time-dependent Hamiltonians

Lecture 41 - The Jaynes-Cummings model