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Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials

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Publication:1814220
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DOI10.1215/kjm/1250519902zbMath0736.47007OpenAlexW1573264905MaRDI QIDQ1814220

Shin-ichi Shimada, Teruo Ikebe

Publication date: 25 June 1992

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519902


zbMATH Keywords

self-adjoint extensionspectral and scattering propertiesquadratic form method


Mathematics Subject Classification ID

Scattering theory of linear operators (47A40)


Related Items (6)

Asymptotics of spectrum under infinitesimally form-bounded perturbation ⋮ The Schrödinger operator with a penetrable wall interaction ⋮ Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces ⋮ Resonances for Laplacian perturbed on surface and cell membrane model ⋮ Short-range potential and a model of operator extension theory for resonators with semitransparent boundary ⋮ Schrödinger operators in \(L^2(\mathbb{R})\) with pointwise localized potential




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