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NPTEL

Quantum Mechanics I

NPTEL and Indian Institute of Technology Madras via YouTube

Syllabus

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

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