Factorization for the Full-Line Matrix Schrödinger Equation and a Unitary Transformation to the Half-Line Scattering
DOI10.15407/MAG19.02.251zbMath1530.34073arXiv2212.07573MaRDI QIDQ6192165
Publication date: 12 February 2024
Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.07573
Levinson's theoremfactorization of scattering datamatrix-valued scattering coefficientsmatrix-valued Schrödinger equation on the lineunitary transformation to half-line scattering
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Quantum scattering theory (81U99) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Cites Work
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- Sharp Lieb-Thirring inequalities in high dimensions.
- The \(L^p\) boundedness of the wave operators for matrix Schrödinger equations
- Direct and inverse scattering for the matrix Schrödinger equation
- Small-energy asymptotics of the scattering matrix for the matrix Schrödinger equation on the line
- A factorization of the scattering matrix for the Schrödinger equation and for the wave equation in one dimension
- Kirchhoff's rule for quantum wires
- Inverse scattering transform for general matrix Schrodinger operators and the related symplectic structure
- Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators
- Bound states and inverse scattering for the Schrödinger equation in one dimension
- Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations
- Linear Algebra in Action
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