THE SCHRODINGER AND DIFFUSION PROPAGATORS COEXISTING ON A LATTICE

The Schrodinger and diffusion equations are normally related only thro ugh a formal analytic continuation. There are apparently no intermedia ry partial differential equations with physical interpretations that c an form a conceptual bridge between the two. However, if one starts of f with a symmetric binary random walk on a lattice then it is possible to show that both equations occur as approximate descriptions of diff erent aspects of the same classical probabilistic system. This suggest s that lattice calculations may prove to be a useful intermediary betw een classical and quantum physics.