Abstract: | The formalism of the quantum inverse scattering method is developed on a lattice in spacetime that imitates light cone coordinates. The zero-curvature representation makes it possible to introduce in a natural manner operators of displacement along the coordinate axes. The method is illustrated for the example of the sine—Gordon system.St Petersburg Branch, V. A. Steklov Mathematics Institute, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 92, No. 2, pp. 207–214, August, 1992. |