Dynamics of a class of quantum field models on a one-dimensional (1D) latti
ce in a Heisenberg picture is mapped onto a class of quantum chaotic one-bo
dy systems on a configurational 2D torus (or 2D lattice) in the Schrodinger
picture. The continuum field limit of the former corresponds to the quasic
lassical limit of the latter. [S1063-651X(99)15608-3].