QUANTUM MECHANICS I IIT Madras Course , Prof. S. Lakshmi Bala

• 1.Mod-01 Lec-01 Quantum Mechanics -- An Introduction
• 2.Mod-01 Lec-02 Linear Vector Spaces - I
• 3.Mod-01 Lec-03 Linear Vector Spaces - II: The two-level atom
• 4.Mod-01 Lec-04 Linear Vector Spaces - III: The three-level atom
• 5.Mod-01 Lec-05 Postulates of Quantum Mechanics - I
• 6.Mod-01 Lec-06 Postulates of Quantum Mechanics - II
• 7.Mod-01 Lec-07 The Uncertainty Principle
• 8.Mod-01 Lec-08 The Linear Harmonic Oscillator
• 9.Mod-01 Lec-09 Introducing Quantum Optics
• 10.Mod-01 Lec-10 An Interesting Quantum Superposition: The Coherent State
• 11.Mod-01 Lec-11 The Displacement and Squeezing Operators
• 12.Mod-01 Lec-12 Exercises in Finite Dimensional Linear Vector Spaces
• 13.Mod-01 Lec-13 Exercises on Angular Momentum Operators and their algebra
• 14.Mod-01 Lec-14 Exercises on Quantum Expectation Values
• 15.Mod-01 Lec-15 Composite Systems
• 16.Mod-01 Lec-16 The Quantum Beam Splitter
• 17.Mod-01 Lec-17 Addition of Angular Momenta - I
• 18.Mod-01 Lec-18 Addition of Angular Momenta - II
• 19.Mod-01 Lec-19 Addition of Angular Momenta - III
• 20.Mod-01 Lec-20 Infinite Dimensional Linear Vector Spaces
• 21.Mod-01 Lec-21 Square-Integrable Functions
• 22.Mod-01 Lec-22 Ingredients of Wave Mechanics
• 23.Mod-01 Lec-23 The Schrodinger equation
• 24.Mod-01 Lec-24 Wave Mechanics of the Simple Harmonic Oscillator
• 25.Mod-01 Lec-25 One-Dimensional Square Well Potential: The Bound State Problem
• 26.Mod-01 Lec-26 The Square Well and the Square Potential Barrier
• 27.Mod-01 Lec-27 The Particle in a one-dimensional Box
• 28.Mod-01 Lec-28 A Charged Particle in a Uniform Magnetic Field
• 29.Mod-01 Lec-29 The Wavefunction: Its Single-valuedness and its Phase
• 30.Mod-01 Lec-30 The Central Potential
• 31.Mod-01 Lec-31 The Spherical Harmonics
• 32.Mod-01 Lec-32 Central Potential: The Radial Equation
• 33.Mod-01 Lec-33 Illustrative Exercises -I
• 34.Mod-01 Lec-34 Illustrative Exercises -II
• 35.Mod-01 Lec-35 Ehrenfest's Theorem
• 36.Mod-01 Lec-36 Perturbation Theory - I
• 37.Mod-01 Lec-37 Perturbation Theory - II
• 38.Mod-01 Lec-38 Perturbation Theory - III
• 39.Mod-01 Lec-39 Perturbation Theory - IV
• 40.Mod-01 Lec-40 Time-dependent Hamiltonians
• 41.Mod-01 Lec-41 The Jaynes-Cummings model