Schrödinger operators in \(L^2(\mathbb{R})\) with pointwise localized potential

DOI10.1006/JMAA.1999.6390zbMath0944.47030OpenAlexW2080425064MaRDI QIDQ1300031

Ronan Pouliquen

Publication date: 25 October 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6390

zbMATH Keywords

Schrödinger operatordomain of self-adjointnesslower semi-bounded, self-adjoint realization

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• The trace inequality and eigenvalue estimates for Schrödinger operators
• Point interactions on the line
• Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials
• Uncertainty principles in harmonic analysis
• A discreteness criterion for the spectrum of a one-dimensional Schrödinger operator with \(\delta\)-interactions

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