Video notes on the history of representation theory in quantum mechanics

History of representation theory in quantum mechanics.txt

Notes for the video here:

https://youtu.be/5zLr7hAnrZY

# On the book
* books 400 pages in 2011, 4 Parts
  - based on thesis
* breakdown of chapters
  - Only on p. 68: v. d. W. scientific education till 1928.
    Text up to then is preparation of context to explain his life and contributions,
    but it's also a nice elaboration in of itself!

# Chapter notes
## Chapter 1, Finite and infinite (Lie-) representation theory (18p)
  * Sections on:
    - Frobenius
    - Burnside
    - Schur
    - Killing and Study and Cartan in one
    - Weyl
    - also notes on Brauer, Maschke, Deruyts, Hurwitz, Ostrowski, Infeld

## Chapter 2, Early development of QM (15p)
  * Section on:
    - Planck, Short one on the "Quantumhypothese"
    - Bohr-Sommerfeld Atommodell
    - Matrix mechanics, q-numbers, Wellenmechanics
    - Relativistic QM equations

## Chapter 3, Groupd theory and Quantum mechanics till 1928 (25p)
  * Focus on works on atom spectra and the (few) physicists promoting
    representations theory to do it
    - First permutation group, character theory, ...
    Then SO(3) representation theory
    Sections on:
      - Wigner, lots of reflection on his works (papers) in that time.
      - Neumann, who worked with him
      - Heisenberg
      - Heitler and London
      - Weyl
    - On the reception of group theory, but relativizes the common story
    Text has focus on critique and complaints by
      - Ehrenfest (Gruppenpest!)
      - Slater

# Notable references
  * The Scholar and the State: In Search of Van der Waerden, by Soifer

# Links
  https://www.amazon.de/dp/366241760X/ref=sr_1_3?keywords=Moderne+Algebra+Waerden&qid=1576356155&s=books&sr=1-3
  https://www.amazon.de/Zwischen-zwei-Disziplinen-Entwicklung-Quantenmechanik/dp/3642218245
  https://www.amazon.com/Scholar-State-Search-Van-Waerden-ebook/dp/B00SJ26BGS
  https://en.wikipedia.org/wiki/Bartel_Leendert_van_der_Waerden
  https://www.geschichte.mathematik.uni-mainz.de/arbeitsgruppe/dr-martina-schneider/
    - Author studied Mathematics, so book contains some math.
    - The math is high level, but there's not much of it.
      But she is also not explaining math in the text.
  https://www.amazon.com/Modern-Algebra-Rise-Mathematical-Structures/dp/3764370025
  https://www.amazon.com/Symmetric-Group-Representations-Combinatorial-Mathematics/dp/0387950672

  https://en.wikipedia.org/wiki/Wigner_D-matrix
  https://en.wikipedia.org/wiki/Clebsch%E2%80%93Gordan_coefficients
  https://en.wikipedia.org/wiki/Gamma_matrices#Expressing_the_Dirac_equation
  https://en.wikipedia.org/wiki/Fock_space#Definition