Two-dimensional algebraic-geometric operators with self-consistent potentials

DOI10.1007/BF01079007zbMath0863.35109MaRDI QIDQ1909909

I. M. Krichever

Publication date: 3 June 1997

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

zbMATH Keywords

nonlinear Schrödinger equationde Sitter spacetimeexact string solutionsself-consistent potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Inverse scattering problems in quantum theory (81U40) Applications of differential geometry to physics (53Z05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items

Sudakov scaling and the gauge/string duality, Hamiltonian dynamics and the hidden symmetries of the \(AdS_{5} \times S^{5}\) superstring, Constant mean curvature surfaces in \(AdS_3\), Logarithmic scaling in gauge/string correspondence, Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations, Gauge/string duality for QCD conformal operators, Linear operators with self-consistent coefficients and rational reductions of KP hierarchy, Novikov-Veselov symmetries of the two-dimensional \(O(N)\) sigma model, Matrix models, complex geometry, and integrable systems. II

Cites Work

• Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• Spectral theory of two-dimensional periodic operators and its applications
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