High-energy analysis and Levinson's theorem for the selfadjoint matrix Schrödinger operator on the half line

DOI10.1063/1.4773904zbMath1280.81032arXiv1206.2986OpenAlexW3099952090MaRDI QIDQ5396279

Tuncay Aktosun, Ricardo Weder

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1206.2986

zbMATH Keywords

Jost matrix

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (12)

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 ⋮ On the Witten index in terms of spectral shift functions ⋮ 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 ⋮ Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete 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

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