Discrete Schr\"odinger Equation on a~Finite Field and Associated Cellular Automaton

A. K. Pogrebkov

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Solitons, geometry, and topology: on the crossroads, Tome 225 (1999), pp. 319-330.

Résumé

The discrete Schrödinger equation with potential belonging to $\mathbb F_2$ is solved explicitly. On this base, the associated $(1+1)$-dimensional cellular automaton is examined and a corresponding set of integrals of motion is constructed.

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