Published December 29, 2024 | Version v1.0.0
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Advanced Quantum Mechanics Course Notes

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Description

Comprehensive notes from the Advanced Quantum Mechanics course taken during the Fall semester of 2023 at Carlos III University in Madrid, as part of the Engineering Physics degree program.

Course Overview

The Advanced Quantum Mechanics course at Carlos III University is designed for Engineering Physics students and delves into advanced concepts and mathematical formalisms in quantum mechanics. The course covers topics such as:

  • The Mathematical Tools of Quantum Mechanics.
  • The Postulates of Quantum Mechanics.
  • Angular Momentum.
  • Approximation Methods for Stationary States in Quantum Mechanics.
  • Introduction to Light Matter Interaction and Time Dependent Perturbation Theory.
  • Identical Particles and Many Electron Atoms.

These course notes cover a wide range of topics discussed in the Advanced Quantum Mechanics course. Some key features of the content include:

  • Detailed explanations of complex quantum mechanics concepts.
  • Clear derivations of important equations and theorems.
  • In-depth examples and applications to reinforce understanding.

Feel free to explore the content and use it as a supplementary resource to your course materials.  The source code for the notes is hosted in this GitHub repository. Contributions are welcome!

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Advanced Quantum Mechanics Notes.pdf

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References

  • Claude Cohen-Tannoudji, Bernard Diu, & Franck Laloe (2020). Quantum Mechanics Volume I: Basic Concepts, Tools, and Applications. John Wiley & Sons, Ltd.
  • Nouredine Zettili (2009). Quantum Mechanics: Concepts and Applications. John Wiley & Sons, Ltd.