  This is a transcription of a conference proceedings from 1985. It reviews the
Jordan algebra formulation of quantum mechanics. A possible novelty is the
discussion of time evolution; the associator takes over the role of $i$ times
the commutator in the standard density matrix formulation, and for the Jordan
algebra of complex Hermitian matrices this implies a Hamiltonian of the form
$H= i[x,y] + \lambda \mathbb{I}$ for traceless Hermitian $x,y$ and real number
$\lambda$. Other possibilities for time evolution in the Jordan formulation are
briefly considered.
