PHYS 130B Lecture Notes

PHYS 130B Lecture Notes#

Welcome to the course notes for Quantum Mechanics.

Textbook: David Tong, Quantum Mechanics (Lectures on Theoretical Physics Volume 3), Cambridge University Press.

Course structure: Material is grouped into chapters (themes), units (x.y), and lessons (x.y.z). Each chapter index lists its units; each unit page lists its lessons. The Jupyter Book sidebar follows the same nesting.

Table of Contents#

Chapter 1. Qubit

Unit

Title

Textbook

1.1

States and Observables

§4.1

1.2

Measurement

§4.2

1.3

Time Evolution

§4.3

Chapter 2. Identical Particles

Unit

Title

Textbook

2.1

Bosons and Fermions

§8.1

2.2

Angular Momentum

§8.2

2.3

Anyons

§8.3

Chapter 3. Path Integral

Unit

Title

Textbook

3.1

Quantization

3.2

Propagator

§15.1

3.3

Stationary Phase

§15.2

3.4

Imaginary Time

§15.3

Chapter 4. Phase and Gauge

Unit

Title

Textbook

4.1

Gauge Field

§9.1

4.2

Berry Phase

§9.4, §11.1

4.3

Landau Level

§9.2

4.4

Spin and Monopole

§9.3, §9.5

Chapter 5. Perturbation Theory

Unit

Title

Textbook

5.1

Time-Independent Perturbation

§10.1

5.2

Time-Dependent Perturbation

§11.3

Chapter 6. Quantum Foundations

Unit

Title

Textbook

6.1

Density Matrix

§16.3

6.2

Entanglement

§16.1, §16.2

6.3

Generalized Measurement

§16.4

6.4

Open Quantum Systems

§16.5