Two-Dimensional Finite-Gap Schrodinger Operators as Limits of Two-Dimensional Integrable Difference Operators
Exactly Solvable and Integrable Systems
2025-11-07 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2511.03805,
title = {Two-Dimensional Finite-Gap Schrodinger Operators as Limits of Two-Dimensional Integrable Difference Operators},
author = {P. A. Leonchik and G. S. Mauleshova and A. E. Mironov},
journal= {arXiv preprint arXiv:2511.03805},
year = {2025}
}