Discrete Schr\"{o}dinger equation on finite field and associated cellular automaton
Pogrebkov, A. K.
arXiv, 9811007 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-11-10
Classification:  Mathematical Physics,  Nonlinear Sciences - Cellular Automata and Lattice Gases,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9811007,
     author = {Pogrebkov, A. K.},
     title = {Discrete Schr\"{o}dinger equation on finite field and associated
  cellular automaton},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9811007}
}

Pogrebkov, A. K. Discrete Schr\"{o}dinger equation on finite field and associated
  cellular automaton. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811007/