Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line

DOI10.1063/1.3640029zbMath1272.81048arXiv1105.1794OpenAlexW3098542494MaRDI QIDQ2851735

Tuncay Aktosun, Ricardo Weder, Martin Klaus

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1794

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items

Generalized matrix exponential solutions to the AKNS hierarchy ⋮ Scattering theory for the matrix Schrödinger operator on the half line with general boundary conditions ⋮ Determination of the self-adjoint matrix Schrödinger operators without the bound state data ⋮ Inverse problem with transmission eigenvalues for the discrete Schrödinger equation ⋮ Scattering problems of impulsive Schrödinger equations with matrix coefficients ⋮ The number of eigenvalues of the matrix Schrödinger operator on the half line with general boundary conditions ⋮ Stability of the inverse scattering problem for the self‐adjoint matrix Schrödinger operator on the half line ⋮ High-energy analysis and Levinson's theorem for the selfadjoint matrix Schrödinger operator on the half line ⋮ Small-energy analysis for the selfadjoint matrix Schrödinger operator on the half line. II ⋮ \(L^p-L^{p'}\) estimates for matrix Schrödinger equations ⋮ Trace formulas for Schrödinger operators on star graphs with general matching conditions ⋮ Trace formulas for the matrix Schrödinger operator on the half-line with general boundary conditions ⋮ The \(L^p\) boundedness of the wave operators for matrix Schrödinger equations ⋮ Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition

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