The scattering problem for a noncommutative nonlinear Schrödinger equation

DOI10.3842/SIGMA.2010.046zbMath1219.35278arXiv0903.1493OpenAlexW4299297352MaRDI QIDQ543939

Bergfinnur Durhuus, Victor Gayral

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1493

zbMATH Keywords

noncommutative geometryJacobi polynomialsscattering theorynonlinear wave equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Deformation quantization, star products (53D55) Noncommutative geometry (à la Connes) (58B34)

Related Items (4)

Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates ⋮ Linear hyperbolic PDEs with noncommutative time ⋮ Boundary-value problems for the evolutionary Schrödinger equation. I ⋮ Structure of noncommutative solitons: existence and spectral theory

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