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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 225, Pages 319–330 (Mi tm729)  
This article is cited in 2 scientific papers (total in 2 papers)

Discrete Schrödinger Equation on a Finite Field and Associated Cellular Automaton

A. K. Pogrebkov
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Abstract: 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.
Received in December 1998
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Pogrebkov, “Discrete Schrödinger Equation on a Finite Field and Associated Cellular Automaton”, Solitons, geometry, and topology: on the crossroads, Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov, Trudy Mat. Inst. Steklova, 225, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 319–330; Proc. Steklov Inst. Math., 225 (1999), 303–313
Citation in format AMSBIB
\Bibitem{Pog99}
\by A.~K.~Pogrebkov
\paper Discrete Schr\"odinger Equation on a~Finite Field and Associated Cellular Automaton
\inbook Solitons, geometry, and topology: on the crossroads
\bookinfo Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 225
\pages 319--330
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm729}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1725949}
\zmath{https://zbmath.org/?q=an:0979.37033}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 225
\pages 303--313
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    • This publication is cited in the following 2 articles:
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