Quantumlike Diffusion over Discrete Sets

Details Quantumlike Diffusion over Discrete Sets Quantumlike Diffusion over Discrete Sets

2003-12-07

arxiv.org/abs/cond-mat/0312181v1

Physics Letters A 313 (2003) 8-15

Physics

Condensed Matter

Statistical Mechanics

6 pages, no figures

Scientific paper

10.1016/S0375-9601(03)00679-0

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.

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