Physics - Quantum Mechanics I (English)

   Friday, March 28, 2025   

Starting a new Lecture Notes Series on Physics - Quantum Mechanics I

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Lecture 1: Mod-01 Lec-01 Quantum Mechanics -- An Introduction

Lecture 2: Mod-01 Lec-02 Linear Vector Spaces - I

Lecture 3: Mod-01 Lec-03 Linear Vector Spaces - II: The two-level atom

Lecture 4: Mod-01 Lec-04 Linear Vector Spaces - III: The three-level atom

Lecture 5: Mod-01 Lec-05 Postulates of Quantum Mechanics - I

Lecture 6: Mod-01 Lec-06 Postulates of Quantum Mechanics - II

Lecture 7: Mod-01 Lec-07 The Uncertainty Principle

Lecture 8: Mod-01 Lec-08 The Linear Harmonic Oscillator

Lecture 9: Mod-01 Lec-09 Introducing Quantum Optics

Lecture 10: Mod-01 Lec-10 An Interesting Quantum Superposition: The Coherent State

Lecture 11: Mod-01 Lec-11 The Displacement and Squeezing Operators

Lecture 12: Mod-01 Lec-12 Exercises in Finite Dimensional Linear Vector Spaces

Lecture 13: Mod-01 Lec-13 Exercises on Angular Momentum Operators and their algebra

Lecture 14: Mod-01 Lec-14 Exercises on Quantum Expectation Values

Lecture 15: Mod-01 Lec-15 Composite Systems

Lecture 16: Mod-01 Lec-16 The Quantum Beam Splitter

Lecture 17: Mod-01 Lec-17 Addition of Angular Momenta - I

Lecture 18: Mod-01 Lec-18 Addition of Angular Momenta - II

Lecture 19: Mod-01 Lec-19 Addition of Angular Momenta - III

Lecture 20: Mod-01 Lec-20 Infinite Dimensional Linear Vector Spaces

Lecture 21: Mod-01 Lec-21 Square-Integrable Functions

Lecture 22: Mod-01 Lec-22 Ingredients of Wave Mechanics

Lecture 23: Mod-01 Lec-23 The Schrodinger equation

Lecture 24: Mod-01 Lec-24 Wave Mechanics of the Simple Harmonic Oscillator

Lecture 25: Mod-01 Lec-25 One-Dimensional Square Well Potential: The Bound State Problem

Lecture 26: Mod-01 Lec-26 The Square Well and the Square Potential Barrier

Lecture 27: Mod-01 Lec-27 The Particle in a one-dimensional Box

Lecture 28: Mod-01 Lec-28 A Charged Particle in a Uniform Magnetic Field

Lecture 29: Mod-01 Lec-29 The Wavefunction: Its Single-valuedness and its Phase

Lecture 30: Mod-01 Lec-30 The Central Potential

Lecture 31: Mod-01 Lec-31 The Spherical Harmonics

Lecture 32: Mod-01 Lec-32 Central Potential: The Radial Equation

Lecture 33: Mod-01 Lec-33 Illustrative Exercises -I

Lecture 34: Mod-01 Lec-34 Illustrative Exercises -II

Lecture 35: Mod-01 Lec-35 Ehrenfest's Theorem

Lecture 36: Mod-01 Lec-36 Perturbation Theory - I

Lecture 37: Mod-01 Lec-37 Perturbation Theory - II

Lecture 38: Mod-01 Lec-38 Perturbation Theory - III

Lecture 39: Mod-01 Lec-39 Perturbation Theory - IV

Lecture 40: Mod-01 Lec-40 Time-dependent Hamiltonians

Lecture 41: Mod-01 Lec-41 The Jaynes-Cummings model