Discrete Schrödinger equation on finite field and associated cellular automaton

Details Discrete Schrödinger equation on finite field and associated cellular automaton Discrete Schrödinger equation on finite field and associated cellular automaton

1998-11-10

arxiv.org/abs/math-ph/9811007v1

Physics

Mathematical Physics

LaTeX 2.09, 12 pages, 1 figure in text

Scientific paper

The discrete Schr\"{o}dinger equation with potential belonging to $\F_{2}$ 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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