Über die Selbstadjungiertheit von Schrödinger-Operatoren

DOI10.1007/BF01237039zbMath0363.47015OpenAlexW2913394269MaRDI QIDQ1240406

Hermann Sohr

Publication date: 1978

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172680

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Essential self‐adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem ⋮ An embedding theorem of Sobolev type for an operator with singularity ⋮ THE EXPLICIT SOLUTIONS TO THE TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH THE SINGULAR POTENTIALS AND ⋮ Essential self-adjointness and self-adjointness for even order elliptic operators ⋮ A note on the domain characterization of certain Schrödinger operators with strongly singular potentials ⋮ Eine Verallgemeinerung mehrerer Störungskriterien verschiedenen Typs im Hilbertraum. (A generalization of some perturbation criteria of different type in Hilbert space)

Cites Work

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• Bemerkungen über Schrödinger-Operatoren mit stark singulären Potentialen
• Strongly singular potentials and essential self-adjointness of singular elliptic operators in \(C^\infty_0(\mathbb{R}^n\setminus\{0\})\)
• Essential self-adjointness of Schrödinger operators with positive potentials
• Self-adjointness for strongly singular potentials with \(a - {| x |}^2\) fall-off at infinity

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