On the inverse scattering problem on branching graphs
From MaRDI portal
Publication:4533850
DOI10.1088/0305-4470/35/1/309zbMath1012.81053OpenAlexW2170434346MaRDI QIDQ4533850
Fredrik Stenberg, Pavel Kurasov
Publication date: 11 June 2002
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/35/1/309
Applications of graph theory (05C90) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40)
Related Items (40)
Distinguishing cospectral quantum graphs by scattering ⋮ A matrix Schrödinger approach to focusing nonlinear Schrödinger equations with nonvanishing boundary conditions ⋮ Symmetries of quantum graphs and the inverse scattering problem ⋮ 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 ⋮ A theory of spectral partitions of metric graphs ⋮ On recovering Sturm-Liouville operators on graphs ⋮ Imaging geometric graphs using internal measurements ⋮ Rayleigh estimates for differential operators on graphs ⋮ The number of eigenvalues of the matrix Schrödinger operator on the half line with general boundary conditions ⋮ Direct computation of scattering matrices for general quantum graphs ⋮ Recovering the shape of a quantum graph ⋮ Stability of the inverse scattering problem for the self‐adjoint matrix Schrödinger operator on the half line ⋮ From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems ⋮ Some inverse scattering problems on star-shaped graphs ⋮ Eigenvalue estimates for Schrödinger operators on metric trees ⋮ Value distribution of the eigenfunctions and spectral determinants of quantum star graphs ⋮ Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes ⋮ Inverse problem for integral-difference operators on graphs ⋮ Aharonov-Bohm ring touching a quantum wire: how to model it and to solve the inverse problem ⋮ Self-adjoint restrictions of maximal operator on graph ⋮ Inverse nodal problems for Sturm–Liouville operators on star-type graphs ⋮ Inverse problems for Aharonov–Bohm rings ⋮ High-energy analysis and Levinson's theorem for the selfadjoint matrix Schrödinger operator on the half line ⋮ Inverse scattering for lasso graph ⋮ Graph Laplacians and topology ⋮ Recovering differential pencils on compact graphs ⋮ Schrödinger operators on graphs and geometry I: Essentially bounded potentials ⋮ Representation results for operators generated by quasi-differential multi-interval system in a Hilbert direct sum space ⋮ Small-energy analysis for the selfadjoint matrix Schrödinger operator on the half line. II ⋮ Inverse problems for differential operators on trees with general matching conditions ⋮ \(L^p-L^{p'}\) estimates for matrix Schrödinger equations ⋮ On the inverse problem of the two-velocity tree-like graph ⋮ On spectral resolutions connected with self-adjoint differential vector-operators in a Hilbert space ⋮ Topological derivatives for networks of elastic strings ⋮ 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 ⋮ Can one distinguish quantum trees from the boundary? ⋮ Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line ⋮ On extremal eigenvalues of the graph Laplacian *
This page was built for publication: On the inverse scattering problem on branching graphs