A limiting absorption principle for Schrödinger operators with oscillating potentials. Part I: \(-\Delta +c \sin(b| x|^{\alpha})/| x|^{\beta}\) for certain c,\(\alpha\),\(\beta\)

DOI10.1016/0022-0396(83)90019-0zbMath0537.34024OpenAlexW1984971947MaRDI QIDQ792519

Allen Devinatz, Peter Rejto

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90019-0

zbMATH Keywords

Schrödinger operatorssecond order differential operatorslimiting absorption principleoscillating potential

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)

Related Items

A new class of Schrödinger operators without positive eigenvalues ⋮ Limiting absorption principle for Schrödinger operators with oscillating potentials ⋮ A limiting absorption principle for Schrödinger operators with oscillating potentials. Part II: \(-\Delta+(c\sin b|x|)/|x|+V(x)\) for short range \(V\) and small coupling constant \(c\) ⋮ On the limiting absorption principle for a new class of Schrödinger Hamiltonians ⋮ Absolute continuity of Hamiltonians with von Neumann Wigner potentials. II

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