Self-adjoint extensions of differential operators with potentials-point interactions

DOI10.1063/1.5020478zbMath1477.47033OpenAlexW2783228740MaRDI QIDQ3382119

Manaf Dzh. Manafov

Publication date: 20 September 2021

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5020478

zbMATH Keywords

Hilbert spacedifferential expressionpotentialsselfadjoint extensionsminimal operators

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Dilations, extensions, compressions of linear operators (47A20)

Cites Work

• Regularization of a Sturm-Liouville problem with an interior singularity using quasi-derivatives
• Formally self-adjoint quasidifferential operators
• Sturm-Liouville operators with singular potentials
• Some spectral properties of an ordinary differential operator with generalized potentials
• Discrete and continuous boundary problems
• Formally self-adjoint quasi-differential operators and boundary value problems
• Eigenfunction expansions of a quadratic pencil of differential operator with periodic generalized potential
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