# 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](ch1_qubit/index)**

```{list-table}
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* - Unit
  - Title
  - Textbook
* - 1.1
  - [States and Observables](ch1_qubit/1-1-states-and-observables)
  - §4.1
* - 1.2
  - [Measurement](ch1_qubit/1-2-measurement)
  - §4.2
* - 1.3
  - [Time Evolution](ch1_qubit/1-3-time-evolution)
  - §4.3
```

**Chapter 2. [Identical Particles](ch2_identical-particles/index)**

```{list-table}
:class: toc-table
:header-rows: 1
:widths: 5 60 15

* - Unit
  - Title
  - Textbook
* - 2.1
  - [Bosons and Fermions](ch2_identical-particles/2-1-bosons-and-fermions)
  - §8.1
* - 2.2
  - [Angular Momentum](ch2_identical-particles/2-2-angular-momentum)
  - §8.2
* - 2.3
  - [Anyons](ch2_identical-particles/2-3-anyons)
  - §8.3
```

**Chapter 3. [Path Integral](ch3_path-integral/index)**

```{list-table}
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:header-rows: 1
:widths: 5 60 15

* - Unit
  - Title
  - Textbook
* - 3.1
  - [Quantization](ch3_path-integral/3-1-quantization)
  -
* - 3.2
  - [Propagator](ch3_path-integral/3-2-propagator)
  - §15.1
* - 3.3
  - [Stationary Phase](ch3_path-integral/3-3-stationary-phase)
  - §15.2
* - 3.4
  - [Imaginary Time](ch3_path-integral/3-4-imaginary-time)
  - §15.3
```

**Chapter 4. [Phase and Gauge](ch4_phase-and-gauge/index)**

```{list-table}
:class: toc-table
:header-rows: 1
:widths: 5 60 15

* - Unit
  - Title
  - Textbook
* - 4.1
  - [Gauge Field](ch4_phase-and-gauge/4-1-gauge-field)
  - §9.1
* - 4.2
  - [Berry Phase](ch4_phase-and-gauge/4-2-berry-phase)
  - §9.4, §11.1
* - 4.3
  - [Landau Level](ch4_phase-and-gauge/4-3-landau-level)
  - §9.2
* - 4.4
  - [Spin and Monopole](ch4_phase-and-gauge/4-4-spin-and-monopole)
  - §9.3, §9.5
```

**Chapter 5. [Perturbation Theory](ch5_perturbation-theory/index)**

```{list-table}
:class: toc-table
:header-rows: 1
:widths: 5 60 15

* - Unit
  - Title
  - Textbook
* - 5.1
  - [Time-Independent Perturbation](ch5_perturbation-theory/5-1-time-independent-perturbation-theory)
  - §10.1
* - 5.2
  - [Time-Dependent Perturbation](ch5_perturbation-theory/5-2-time-dependent-perturbation-theory)
  - §11.3
```

**Chapter 6. [Quantum Foundations](ch6_quantum-foundations/index)**

```{list-table}
:class: toc-table
:header-rows: 1
:widths: 5 60 15

* - Unit
  - Title
  - Textbook
* - 6.1
  - [Density Matrix](ch6_quantum-foundations/6-1-density-matrix)
  - §16.3
* - 6.2
  - [Entanglement](ch6_quantum-foundations/6-2-entanglement)
  - §16.1, §16.2
* - 6.3
  - [Generalized Measurement](ch6_quantum-foundations/6-3-generalized-measurement)
  - §16.4
* - 6.4
  - [Open Quantum Systems](ch6_quantum-foundations/6-4-open-quantum-systems)
  - §16.5
```