Galilei invariance of the Schrodinger equation requires linearization
of the operator S = i partial derivative/partial derivative t + 1/2m d
el(2) by the introduction of anticommuting matrices as coefficients of
the linear form. In an external field this leads directly to the Paul
i equation, the non-relativistic limit of Dirac's equation. An overvie
w of the complete argument that defines spin as a non-relativistic con
cept is presented.