Up quark Updated 2025-07-16
Noisy intermediate-scale quantum era Updated 2025-07-16
Era of quantum computing before we reach physical errors small enough to do perfect quantum error correction as demonstrated by the quantum threshold theorem.
Quantum LC circuit Updated 2025-07-16
TODO are there experiments, or just theoretical?
Hermite polynomials Updated 2025-07-16
Show up in the solution of the quantum harmonic oscillator after separation of variables leading into the time-independent Schrödinger equation, much like solving partial differential equations with the Fourier series.
I.e.: they are both:
- solutions to the time-independent Schrödinger equation for the quantum harmonic oscillator
- a complete basis of that space
Ladder operator Updated 2025-07-16
www.physics.udel.edu/~jim/PHYS424_17F/Class%20Notes/Class_5.pdf by James MacDonald shows it well.
And then we can prove the ladder properties easily.
The commutator appear in the middle of this analysis.
Relativistic Quantum Mechanics by Apoorva D Patel (2014) Updated 2025-07-16
New Revolutions in Particle Physics by Leonard Susskind (2009) Updated 2025-07-16
David Tong's 2009 Quantum Field Theory lectures at the Perimeter Institute Updated 2025-07-16
Lecture notes: Quantum Field Theory lecture notes by David Tong (2007).
By David Tong.
Quantum field theory courses by Tobias Osborne Updated 2025-07-16
An Introduction to QED and QCD by Jeff Forshaw (1997) Updated 2025-07-16
www.hep.man.ac.uk/u/forshaw/NorthWest/QED.pdf web.archive.org/web/20200824083133/http://www.hep.man.ac.uk/u/forshaw/NorthWest/QED.pdf
These seem very direct and not ultra advanced, good read.
Quantum Field Theory lecture notes by David Tong (2007) Updated 2025-07-16
Number of pages circa 2021: 155.
It should also be noted that those notes are still being updated circa 2020 much after original publication. But without Git to track the LaTeX, it is hard to be sure how much. We'll get there one day, one day.
Some quotes self describing the work:
- Perhaps for this reason Ciro Santilli was not able to get as much as he'd out of those notes either. This is not to say that the notes are bad, just not what Ciro needed, much like P&S:
In this course we will not discuss path integral methods, and focus instead on canonical quantization.
A follow up course in the University of Cambridge seems to be the "Advanced QFT course" (AQFT, Quantum field theory II) by David Skinner: www.damtp.cam.ac.uk/user/dbs26/AQFT.html
Quantum Field Theory book by Mark Srednicki (2006) Updated 2025-07-16
Free to view draft: web.physics.ucsb.edu/~mark/ms-qft-DRAFT.pdf Page presenting it: web.physics.ucsb.edu/~mark/qft.html
Number of pages: 616!
Don't redistribute clause, and final version by Cambridge University Press, alas, so corrections will never be merged back: web.physics.ucsb.edu/~mark/qft.html. But at least he's collecing erratas for the published (and therefore draft) versions there.
The preface states that one of its pedagogical philosophies is to "Illustration of the basic concepts with the simplest examples.", so maybe there is hope after all.
No-Nonsense Quantum Field Theory by Jakob Schwichtenberg (2020) Updated 2025-07-16
This book really tries to recall basic things to ensure that the reader will be able to understand the more advanced ones.
But Ciro Santilli really prefers it when authors error on the side of obvious.
Quantum Field Theory for The Gifted Amateur by Tom Lancaster (2015) Updated 2025-07-16
Student Friendly Quantum Field Theory by Robert D Klauber (2013) Updated 2025-07-16
Quantum field theory in a nutshell by Anthony Zee (2010) Updated 2025-07-16
Problem Book in Quantum Field Theory by Voja Radovanovic (2008) Updated 2025-07-16
Quantum Field Theory Demystified by David McMahon (2008) Updated 2025-07-16
This didn't really deliver. It does start from the basics, but it is often hard to link those basics to more interesting or deeper points. Also like many other Quantum field theory book, it does not seem to contain a single comparison between a theoretical result and an experiment.
An Introduction To Quantum Field Theory by Peskin and Schroeder (1995) Updated 2025-07-16
Unfortunately, this approach bores Ciro Santilli to death. Or perhaps is too just advanced for him to appreciate. Either of those.
800+ pages.
Derivation of the quantum electrodynamics Lagrangian Updated 2025-07-16
Like the rest of the Standard Model Lagrangian, this can be split into two parts:
- spacetime symmetry: reaches the derivation of the Dirac equation, but has no interactions
- add the internal symmetry to add interactions, which reaches the full equation
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.
There are unlisted articles, also show them or only show them.