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Quantumlike Diffusion over Discrete Sets

Demian Battaglia·Mario Rasetti
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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.

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Demian Battaglia, Mario Rasetti. 2003-12-07. Quantumlike Diffusion over Discrete Sets. https://doi.org/10.1016/s0375-9601(03)00679-0

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