scientific article

zbMath0982.34073MaRDI QIDQ2730794

Thomas Kappeler, Benoît Grébert

Publication date: 24 March 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

asymptotic distribution of eigenvaluescomplex version of the Zakharov-Shabat systemperiodic and Dirichlet boundary conditions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Methods of nonstandard analysis for ordinary differential equations (34E18)

Related Items (8)

Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property ⋮ Quantization conditions of eigenvalues for semiclassical Zakharov-Shabat systems on the circle ⋮ Estimates of spectral gap lengths for Schrödinger and Dirac operators ⋮ On the spectrum of the periodic focusing Zakharov-Shabat operator ⋮ Spectral triangles of non-selfadjoint Hill and Dirac operators ⋮ Inverse spectral problem for singular AKNS and Schrödinger operators on \([0,1\).] ⋮ On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators ⋮ Instability zones of a periodic 1D Dirac operator and smoothness of its potential

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