A spectral representation for a Schrödinger operator with potential increasing as the radius tends to infinity

DOI10.1016/0022-0396(86)90114-2zbMath0578.47038OpenAlexW2084125893MaRDI QIDQ1066458

Lev Shwartzman

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90114-2

zbMATH Keywords

Fourier transformSchrödinger operatorlimiting absorption principlegeneralized

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05)

Cites Work

• A limiting absorption principle for the Schrödinger operator with potential increasing as the radius tends to infinity
• Radiation conditions and spectral theory for 2-body Schrödinger operators with oscillating long-range potentials. III
• Limiting absorption method and absolute continuity for the Schrödinger operator
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
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