Quantumlike Diffusion over Discrete Sets
classification
❄️ cond-mat.stat-mech
quant-ph
keywords
discreteallowsarbitrarycalculusderivationdescribedifferentialdiffusion
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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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