Report
Two-dimensional discrete operators and rational functions on algebraic curves
| العنوان: | Two-dimensional discrete operators and rational functions on algebraic curves |
|---|---|
| المؤلفون: | Leonchik, Polina A., Mironov, Andrey E. |
| سنة النشر: | 2025 |
| المجموعة: | Mathematics Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematics - Algebraic Geometry |
| الوصف: | In this paper we study a connection between finite-gap on one energy level two-dimensional Schrodinger operators and two-dimensional discrete operators. We find spectral data for a new class of two-dimensional integrable discrete operators. These operators have eigenfunctions on zero level energy parameterized by points of algebraic spectral curves. In the case of genus one spectral curves we show that the finite-gap Schrodinger operators can be obtained as a limit of the discrete operators. Comment: 16 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2501.13539 |
| رقم الانضمام: | edsarx.2501.13539 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |