Two-dimensional periodic Schrödinger operators integrable at an energy eigenlevel

DOI10.1007/s10688-019-0246-7zbMath1427.35161arXiv1903.01778OpenAlexW2947486258MaRDI QIDQ2278732

I. M. Krichever, A. V. Il'ina, Nikita A. Nekrasov

Publication date: 10 December 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01778

zbMATH Keywords

Baker-Akhiezer function\(M\)-curvespectral theory of periodic differential operatorscomplex Fermi curve

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Nonlinear higher-order PDEs (35G20) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Nonsingular finite-zone two-dimensional Schrödinger operators and Prymians of real curves
• Potentials with zero coefficient of reflection on a background of finite- zone potentials
• Integration of nonlinear equations by the methods of algebraic geometry
• Spectral theory of two-dimensional periodic operators and its applications
• Two-dimensional Dirac operator and the theory of surfaces

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