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Two-Dimensional Finite-Gap Schrodinger Operators as Limits of Two-Dimensional Integrable Difference Operators
P. A. Leonchik, G. S. Mauleshova, A. E. Mironov
https://arxiv.org/abs/2511.03805 https://arxiv.org/pdf/2511.03805 https://arxiv.org/html/2511.03805
arXiv:2511.03805v1 Announce Type: new
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.
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