Anomalous magnetic dipole moment of the electron Updated +Created
This was one of the first two great successes of quantum electrodynamics, the other one being the Lamb shift.
In youtu.be/UKbp85zpdcY?t=52 from freeman Dyson Web of Stories interview (1998) Dyson mentions that the original key experiment was from Kusch and Foley from Columbia University, and that in 1948, Julian Schwinger reached the correct value from his calculations.
Bibliography:
Derivation of the quantum electrodynamics Lagrangian Updated +Created
Like the rest of the Standard Model Lagrangian, this can be split into two parts:
Video 1.
Deriving the qED Lagrangian by Dietterich Labs (2018)
Source.
As mentioned at the start of the video, he starts with the Dirac equation Lagrangian derived in a previous video. It has nothing to do with electromagnetism specifically.
He notes that that Dirac Lagrangian, besides being globally Lorentz invariant, it also also has a global invariance.
However, it does not have a local invariance if the transformation depends on the point in spacetime.
He doesn't mention it, but I think this is highly desirable, because in general local symmetries of the Lagrangian imply conserved currents, and in this case we want conservation of charges.
To fix that, he adds an extra gauge field (a field of matrices) to the regular derivative, and the resulting derivative has a fancy name: the covariant derivative.
Then finally he notes that this gauge field he had to add has to transform exactly like the electromagnetic four-potential!
So he uses that as the gauge, and also adds in the Maxwell Lagrangian in the same go. It is kind of a guess, but it is a natural guess, and it turns out to be correct.
Dietterich Labs Updated +Created
Covers some specific hardcore subjects, notably quantum electrodynamics, in full mathematical detail, e.g.: "Quantum Field Theory Lecture Series" playlist: www.youtube.com/playlist?list=PLSpklniGdSfSsk7BSZjONcfhRGKNa2uou
Unfortunately the channel is too obsessed with mathematical detail (which it does amazingly), and does not give enough examples/application/intuition, which is what would be useful to most people, thus falling too much on the hardcore side of the missing link between basic and advanced.
This channel does have on merit however: compared to other university courses, it is much more direct, which might mean that you get to something interesting before you got bored to death, Section "You can learn more from older students than from faculty" comes to mind.
Videos generally involves short talks + a detailed read-through of a pre-prepared PDF. Dietterich has refused however giving the PDF or LaTeX source as of 2020 on comments unfortunately... what a wasted opportunity for society. TODO find the comment. Sam, if you ever Google yourself to this page, let's make a collab on OurBigBook.com and fucking change education forever man.
Full name as shown in channel content: Samuel Dietterich. Other accounts:
Video 1.
The Ultimate Goal Of My YouTube Channel by Dietterich Labs (2020)
Source. In this video Dietterich gives his ideal for the channel. Notably, he describes how the few experimental videos he has managed to make were done in a opportunistic way from experiments that were happening around him. This resonated with Ciro Santilli's ideas from videos of all key physics experiments.
Video 2.
Sam Dietterich interview by Dietterich Labs (2022)
Source. TODO find patience to watch and summarize key points.
Video 3.
The Sting Of Soft Corruption: My College Experience by Dietterich Labs
. Source. Academia is broken video.
Dilution refrigerator Updated +Created
Dirac equation solution for the hydrogen atom Updated +Created
Predicts fine structure.
Video 2.
How To Solve The Dirac Equation For The Hydrogen Atom | Relativistic Quantum Mechanics by Dietterich Labs (2018)
Source.
Maxwell Lagrangian Updated +Created
Superfluid helium-4 Updated +Created
Also sometimes called helium II, in contrast to helium I, which is the non-superfluid liquid helium phase.
Video 1.
Superfluid helium Resonance Experiment by Dietterich Labs (2019)
Source.