A convexity theorem in the scattering theory for the Dirac operator

DOI10.1090/S0002-9947-98-02150-3zbMath0893.34078arXivsolv-int/9607004OpenAlexW1487473686MaRDI QIDQ4382986

K. L. Vaninskij

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9607004

zbMATH Keywords

Dirac operatornonlinear Schrödinger equationconvexity theoremscattering theory

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Quantum scattering theory (81U99) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (1)

Symplectic structures for the cubic Schrödinger equation in the periodic and scattering case

Cites Work

• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Geometry of KdV. I: Addition and the unimodular spectral classes
• Convexity properties of the moment mapping
• Convexity and Commuting Hamiltonians
• [https://portal.mardi4nfdi.de/wiki/Publication:4342735 Action-angle variables for the cubic Schr�dinger equation]
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