Some eigenstates for a model associated with solutions of tetrahedron equation. V. Two cases of string superposition

Abstract

In paper IV (solv-int/9704013) we have considered a string living in the infinite lattice that was, in a sense, generated by a "particle". Here we show how to construct multi-string eigenstates generated by several particles. It turns out that, at least in some cases, this allows us to bypass the difficulties of constructing multi-particle states. We also present and discuss the "dispersion relations" for our particles-strings.