Discrete Schr\"{o}dinger equation on finite field and associated cellular automaton
Mathematical Physics
2007-05-23 v1 comp-gas
math.MP
Cellular Automata and Lattice Gases
Exactly Solvable and Integrable Systems
solv-int
Abstract
The discrete Schr\"{o}dinger equation with potential belonging to is solved explicitly. On this base the associated (1+1)-dimensional cellular automaton is examined and corresponding set of integrals of motions is constructed.
Cite
@article{arxiv.math-ph/9811007,
title = {Discrete Schr\"{o}dinger equation on finite field and associated cellular automaton},
author = {A. K. Pogrebkov},
journal= {arXiv preprint arXiv:math-ph/9811007},
year = {2007}
}
Comments
LaTeX 2.09, 12 pages, 1 figure in text