AustenLamacraft / tqm

Material for the course Theories of Quantum Matter at the University of Cambridge

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Theories of Quantum Matter

These are the materials for the Part III course Theories of Quantum Matter at the University of Cambridge

  • The master branch contains the lecture notes that are published on my site.

  • The branch lecture-notes-<year> contains the files with annotations made during the lectures in <year>.

  • View these with the Markdown viewer of your choice, ideally one that is LaTeX-aware: I recommend Typora (you will need to turn on the options for Inline Math and Equation Numbering in the preferences panel).

  • Alternatively you could convert to PDF using pandoc.

  • Feel free to submit any issues with the notes!

Switching between master (for Hugo site) and lecture notes (for Typora)

  • Figures for Hugo follow the format: {{< figure src="HOM.png" title="Four possible outcomes after the passage of two bosons through a beam splitter." numbered="true" lightbox="true" >}}

  • Figures for Typora use standard markdown

TODOs

  • Internal references among lectures

  • LaTeX in figure captions for Hugo

  • Citations for Hugo

  • Make Typora template in the Academic style, allowing for sidenotes. Look into Tufte CSS

Content TODOs

  1. Nice idea for a second quantization problem: two particles hopping on a 2x2 square. Work out matrix elements for the cases of bosons and fermions, to show that fermions are not just impenetrable bosons. For fermions the configuration space is six dimensional

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Material for the course Theories of Quantum Matter at the University of Cambridge