A complete classification of threshold properties for one-dimensional discrete Schrödinger operators
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Publication:5245832
DOI10.1142/S0129055X15500026zbMath1318.81021arXiv1312.1396MaRDI QIDQ5245832
Publication date: 15 April 2015
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.1396
Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Difference operators (39A70) Linear difference operators (47B39)
Related Items (7)
Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition ⋮ On the spectral properties of non-selfadjoint discrete Schrödinger operators ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Resolvent expansion for the Schrödinger operator on a graph with infinite rays ⋮ Resolvent expansions for the Schrödinger operator on the discrete half-line ⋮ Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2
Cites Work
- \(L^p\) continuity of wave operators in \(\mathbb Z\)
- Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Asymptotic expansions in time for solutions of Schrödinger-type equations
- On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
- Anisotropic Jacobi matrices with absolutely continuous spectrum
- A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
- ERRATUM: A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
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