Scattering matrices and Weyl functions of quasi boundary triples
From MaRDI portal
Publication:5118015
DOI10.1007/978-3-030-31531-3_12zbMath1481.47009OpenAlexW3042369093MaRDI QIDQ5118015
Hagen Neidhardt, Jussi Behrndt
Publication date: 26 August 2020
Published in: Analysis as a Tool in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-31531-3_12
Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40)
Related Items
Scattering theory with both regular and singular perturbations, Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral estimates for resolvent differences of self-adjoint elliptic operators
- Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\)
- Operational calculus of linear relations
- Boundary value problems for elliptic partial differential operators on bounded domains
- Null-range potentials and M. G. Krejn's formula for generalized resolvents
- Generalized resolvents and the boundary value problems for Hermitian operators with gaps
- Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces
- The extension theory of Hermitian operators and the moment problem
- Perturbation determinants for singular perturbations
- Trace formulas for additive and non-additive perturbations
- Scattering matrices and Dirichlet-to-Neumann maps
- Scattering theory for open quantum systems with finite rank coupling
- Componentwise and Cartesian decompositions of linear relations
- A remark on discrete wave scattering
- Boundary relations and their Weyl families
- THE THEORY OF EXTENSIONS AND ZERO-RADIUS POTENTIALS WITH INTERNAL STRUCTURE
- SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS
- Scattering matrices and Weyl functions
- Finite Rank Perturbations, Scattering Matrices and Inverse Problems
- A solvable model for scattering on a junction and a modified analytic perturbation procedure
- Symmetric and selfadjoint relations in Krein spaces II
- Scattering on a Compact Domain with Few Semi-Infinite Wires Attached: Resonance Case
- Perturbations of Self-Adjoint Transformation
- Intermediate Hamiltonian via Glazman's splitting and analytic perturbation for meromorphic matrix‐functions
- Jump-start in the analytic perturbation procedure for the Friedrichs model
- Theory of Simple Scattering and Eigenfunction Expansions
- Modified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction
