Quantum Mechanics

Lecture notes on first course of quantum mechanics

• Lecture 1: Particles, Waves and the Quantum

• Lecture 2: Superposition & Fourier Analysis

• Lecture 3: Wavepackets

• Lecture 4: Probabilistic Interpretation & Hilbert Spaces

• Lecture 5: Dirac Delta Function & Representations of Quantum States

• Lecture 6: Observables and Operators

• Lecture 7: Observables, Eigenequations and Hermitian Operators

• Lecture 8: Commutators and Uncertainties

• Lecture 9: Schroedinger's Wave Mechanics

• Lecture 10: Constant Potential & Step Potential

• Lecture 11: Barrier Potential & Box Potential

• Lecture 12: Parity & Finite Square Well Potential

• Lecture 13: Periodic Potential

• Lecture 14: Simple Harmonic Oscillator

• Lecture 15: State Vectors & Inner Product

• Lecture 16: Operators, Hermitian Conjugation & Outer Product

• Lecture 17: Basis Kets, Eigenkets & Basis Operators

• Lecture 18: Matrix Representation

• Lecture 19: Transformation Theory

• Lecture 20: Physical States, Predictions & Measurements

• Lecture 21: Uncertainty Principle & Tensor Product

• Lecture 22: Position & Momentum Eigenbasis and Wave Mechanics

• Lecture 23: Quantum Dynamics

• Lecture 24: Harmonic Oscillator Revisited

• Lecture 25: Orbital Angular Momentum

• Lecture 26: Angular Momentum Spectra

• Lecture 27: Representations of Angular Momenta

• Lecture 28: Quantum Two-Body Problem

• Lecture 29: Hydrogen Atom

• Lecture 30: Spin Angular Momentum

• Lecture 31: Addition of Angular Momentum

• Lecture 32: Identical Particles

Sample questions from February 2017

Assignment 1

• Assignment 1 Questions

• Solution to Question 1

• Solution to Question 2

• Solution to Question 3

• Solution to Question 4

• Solution to Question 5

Assignment 2

• Assignment 2 Questions

• Solution to Question 1

• Solution to Question 2

• Solution to Question 3

• Solution to Question 4

• Solution to Question 5

• Solution to Question 6

• Solution to Question 7

• Solution to Question 8

Assignment 3

• Assignment 3 Questions

• Solution to Question 1

• Solution to Question 2

• Solution to Question 3

• Solution to Question 4

• Solution to Question 5

• Solution to Question 6

• Solution to Question 7

• Solution to Question 8

Test 1

• Test 1 Questions

• Solution to Section A

• Solution to Question 6

• Solution to Question 7

Test 2

• Test 2 Questions

• Solution to Section A

• Solution to Question 7

• Solution to Question 8

Final Exam

• Final Exam Questions

• Solution to Section A

• Solution to Question 9

• Solution to Question 10

• Solution to Question 11

• Solution to Question 12