A limiting absorption principle for Schrödinger operators with spherically symmetric exploding potentials

DOI10.1007/BF02761367zbMath0491.35068OpenAlexW2046238662MaRDI QIDQ1167349

Matania Ben-Artzi

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761367

zbMATH Keywords

resolventuniquenesslimiting absorption principleradiation conditionradial potentiallong-range scattering theory

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Scattering theory of linear operators (47A40)

Related Items (5)

Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation ⋮ Limiting absorption principle for some Schrödinger operators with exploding potentials. I ⋮ A limiting absorption principle for the Schrödinger operator with potential increasing as the radius tends to infinity ⋮ Spectral Theory for Magnetic Schrödinger Operators in Exterior Domains with Exploding and Oscillating Long-Range Potentials ⋮ Resolvent estimates for a certain class of Schrödinger operators with exploding potentials

Cites Work

• Unnamed Item
• Spectral representations for Schrödinger operators with long-range potentials
• Limiting absorption principle for some Schrödinger operators with exploding potentials. I
• On the absolute continuity of Schrödinger operators with spherically symmetric, long-range potentials, II
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Radiation conditions and spectral theory for 2-body Schrödinger operators with oscillating long-range potentials. I: The principle of limiting absorption
• Limiting absorption method and absolute continuity for the Schrödinger operator

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