On semibounded restrictions of self-adjoint operators

DOI10.1007/BF01228105zbMath0931.47024MaRDI QIDQ1264499

Hagen Neidhardt, Valentin A. Zagrebnov

Publication date: 23 February 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatormomentum operatorsymmetric operatorsingular potentialselfadjoint extensions\(b\)-stability domainsemibounded from below

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dilations, extensions, compressions of linear operators (47A20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

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Around the Van Daele-Schmüdgen theorem ⋮ On quantum dynamics on \(C^\ast\)-algebras

Cites Work

• On inverse spectral theory for selfadjoint extensions: Mixed types of spectra
• On the point spectrum of selfadjoint extensions
• On the absolutely continuous spectrum of self-adjoint extensions
• On the singular continuous spectrum of self-adjoint extensions
• Does Each Symmetric Operator Have a Stability Domain?

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