Quantum Mechanics notes

This repository contains notes for QM courses. The main idea is to cover basics of QM, applied QM and QM for quantum computing.

Contents

The notes are divided into three parts:

1. Basic QM

   1. Preliminaries
   2. Particles in Potentials
      1. Square well
      2. Harmonic oscillator
      3. Angular momentum
      4. Central Potential
      5. Classical Hydrogen

2. Applied QM

   1. Scattering Theory
   2. Perturbation theory
   3. Hydrogen atom

3. Quantum Systems and Information

   1. Preliminaries
   2. State Spaces and Correlations
      1. Density operators
      2. Bloch Sphere
      3. Composite Systems
      4. Entanglement
      5. Spectral decomposition
      6. Bell's Inequality
      7. Quantum Decoherence

4. Quantum Optics

   1. Introduction
   2. Field quantization
   3. Coherent states
   4. Atom-field interaction
   5. Coherence
   6. Beam splitters

How to use

The notes are written in Jupyter notebooks. To view them, you can use simply use GitHub's built-in notebook viewer. To run them, you need to install Jupyter notebook. The easiest way to do this is to install Anaconda. Anaconda is available for Linux, OS X and Windows and contains all the necessary libraries and software to run the notebooks.

Contributing

Please feel free to contribute by sending a pull request or get in touch with me to discuss the content.

License

The content of this repository is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. The software is licensed under the MIT license.