English

Quantumlike Diffusion over Discrete Sets

Statistical Mechanics 2009-11-10 v1 Quantum Physics

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.

Keywords

Cite

@article{arxiv.cond-mat/0312181,
  title  = {Quantumlike Diffusion over Discrete Sets},
  author = {Demian Battaglia and Mario Rasetti},
  journal= {arXiv preprint arXiv:cond-mat/0312181},
  year   = {2009}
}

Comments

6 pages, no figures