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math-ph1999
On time evolutions associated with the nonstationary Schrödinger equation
A. K. Pogrebkov
The set of integrable symmetries of the nonstationary Schrödinger equation is shown to admit a natural decomposition into subsets of mutually commuting symmetries. Hierarchies of t…
math-ph1998
Discrete Schrödinger equation on finite field and associated cellular automaton
A. K. Pogrebkov
The discrete Schrödinger equation with potential belonging to $\F_{2}$ is solved explicitly. On this base the associated (1+1)-dimensional cellular automaton is examined and corres…