[ValentinA23]

https://x.com/coecke/status/1630551781624238081

    Major milestone for ZX-alike calculi: now for all finite dimensions, with completeness theorem.  I.e. for all dimensions any equation derivable using Hilbert space maths, is derivable with pictures!  ZXW moreover allows for differentiation, integration and exponentiation.

One of the high school student went on publishing a paper applying what he learned during the course, but I can't find it anymore.

[ndriscoll]

A sibling comment posted a 900 page pdf textbook[0] on the subject which mentions the word hydrogen once (discussing the Stern-Gerlach experiment). It doesn't mention atomic spectra at all. It doesn't mention the word "chemistry" at all.

Here's the eigenfunctions and energy levels of the wavefunction for a hydrogen-like atom[1], equations derivable in the Hilbert space formalism which explain the Rydberg formula[2] and offer a path toward understanding molecular bonding. This stuff is usually covered in an introductory quantum mechanics course, which immediately requires you to work with infinite dimensional Hilbert spaces.

The process calculus stuff is neat, but it's not really covering what you might call "quantum physics". The mentioned textbook says it's "about telling the story of quantum theory entirely in terms of pictures", but it doesn't even mention what quantum theory is about. It starts with saying a photon or an electron might be a typical system, but what's a photon and why do we think they exist? What does it mean to say electrons are quantum systems, and why do we think they are?

A standard introductory text like Griffiths (which is also kind of unmotivated but at least covers the material) has e.g. this problem 5.11a: "Figure out electron configuration for the first two rows of the periodic table (up to neon)".

[0] https://www.cs.ox.ac.uk/people/aleks.kissinger/PQP.pdf

[1] https://en.wikipedia.org/wiki/Hydrogen-like_atom#Non-relativ...

[2] https://en.wikipedia.org/wiki/Rydberg_formula#For_any_hydrog...