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Mod-01 Lec-20 Infinite Dimensional Linear Vector Spaces
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Classroom Contents
Quantum Mechanics I
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- 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
