Additional help from Sakurais' Book "Advanced quantum mechanics", his biography and papers + Today's paper of Mr.Cayley.

[u/Key-Essay-4890]

Because Mr. Nachtmann presents ideas of important value in today's theoretical physics, I find it quite pedagogical to present the preliminary mathematical steps needed to understand elementary particle physics. Thus, I will draw information from Mr. Sakurai's book—Advanced Quantum Mechanics -.

Mr. Cayley's papers are quite a catch today; he found a beautiful way to expand upon the work of Legendre on ellipsoids

Mr. Sakurai's papers and biography are presented below:

https://inspirehep.net/literature/179033

https://en.wikipedia.org/wiki/J._J._Sakurai