2003/05/13 by Demian Battaglia, Mario Rasetti
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1016/s0375-9601(03)00679-0
published as Physics Letters A 313 (2003) 8-15 · 6 pages, no figures
openalex publication_date 2003/05/13 · arxiv created 2003/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.