Discrete Schrödinger equation on finite field and associated cellular automaton

1998/11/10 by A. K. Pogrebkov, Pogrebkov, A. K.
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Cellular Automata and Lattice Gases (nlin.CG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Opinion Dynamics and Social Influence #advanced mathematical theories #comp-gas #math-ph #math.MP #nlin.CG #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.math-ph/9811007

LaTeX 2.09, 12 pages, 1 figure in text

arxiv created 1998/11/10 · openalex publication_date 1998/11/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The discrete Schrödinger equation with potential belonging to \F₂ is solved explicitly. On this base the associated (1+1)-dimensional cellular automaton is examined and corresponding set of integrals of motions is constructed.

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