Examples of absolutely continuous Schrödinger operators in magnetic fields

DOI10.2977/prims/1195179628zbMath0623.47058OpenAlexW1979431777MaRDI QIDQ1091590

Akira Iwatsuka

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195179628

zbMATH Keywords

magnetic fieldspectral theoryabsolutely continuous Schrödinger operatorsself-adjoint realizationsubspace of absolute continuitytwo- dimensional Schrödinger operator

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• The essential spectrum of two-dimensional Schrödinger operators with perturbed constant magnetic fields
• Schrödinger operators with magnetic fields. I: General interactions
• Limiting absorption method and absolute continuity for the Schrödinger operator
• Schrödinger operators with singular magnetic vector potentials
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