Quantumlike Diffusion over Discrete Sets
arXiv:cond-mat/0312181 · doi:10.1016/S0375-9601(03)00679-0
Abstract
In the present paper, a discrete differential calculus is introduced and used to describe dynamical systems over arbitrary graphs. The discretization of space and time allows the derivation of Heisenberg-like uncertainty inequalities and of a Schrodinger-like equation of motion, without need of any quantization procedure.
6 pages, no figures