Two-Dimensional Finite-Gap Schrodinger Operators as Limits of Two-Dimensional Integrable Difference Operators (2511.03805v1)

Abstract: In this paper we study two-dimensional discrete operators whose eigenfunctions at zero energy level are given by rational functions on spectral curves. We extend discrete operators to difference operators and show that two-dimensional finite-gap Schrodinger operators at fixed energy level can be obtained from difference operators by passage to the limit.