Small-energy analysis for the selfadjoint matrix Schrödinger operator on the half line. II

DOI10.1063/1.4866780zbMath1312.81058arXiv1310.4809OpenAlexW4235050871MaRDI QIDQ5414821

Ricardo Weder, Tuncay Aktosun, Martin Klaus

Publication date: 7 May 2014

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

Full work available at URL: https://arxiv.org/abs/1310.4809

zbMATH Keywords

inverse scattering problemmatrix Schrödinger equationself-adjoint matrix potential

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

Scattering theory for the matrix Schrödinger operator on the half line with general boundary conditions ⋮ 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 ⋮ Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line ⋮ \(L^p-L^{p'}\) estimates for matrix Schrödinger equations ⋮ Trace formulas for the matrix Schrödinger operator on the half-line with general boundary conditions ⋮ Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schrödinger operators

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