Spectral inclusion and pollution for a class of dissipative perturbations

DOI10.1063/5.0028440zbMath1456.81182arXiv2006.10097OpenAlexW3119846106MaRDI QIDQ5148691

Alexei Stepanenko

Publication date: 4 February 2021

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

Full work available at URL: https://arxiv.org/abs/2006.10097

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operator approximation theory (47A58)

Related Items (3)

Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers ⋮ On the eigenvalues of spectral gaps of elliptic PDEs on waveguides ⋮ Lieb-Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line

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