Ilya Kuprov's tutorial at the MIT Zoominar organised by Kong Ooi Tan and Bob Griffin, 10 June 2020.
https://griffingroup.mit.edu/weekly-ssnmrdnp-zoominar
Spin is a relativistic invariant that gives magnetic moments to charged particles. This tutorial lecture will focus on the fundamental question of how it comes to exist. We will cover the history of the subject, starting with the spin-orbit coupling in... astronomy, and then proceed to the modern derivation and definition of spin: from the theory of continuous groups, through Lorentz invariance, to Dirac equation and finally to the emergence of the coupling between spin and magnetic field when the negative energy components of the spinor are eliminated. The mathematics will be tuned to resonate with the NMR/EPR/DNP community.