1D nonnegative Schrödinger operators with point interactions

zbMath1298.34168MaRDI QIDQ2443487

Yu. G. Kovalev

Publication date: 7 April 2014

Published in: Matematychni Studiï (Search for Journal in Brave)

zbMATH Keywords

Riesz basispoint interactionboundary tripletthe Friedrichs extensionthe Kreĭn extension

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dilations, extensions, compressions of linear operators (47A20)

Related Items (4)

Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ To the theory of nonnegative point Hamiltonians on a plane and in the space ⋮ On the criteria of transversality and disjointness of nonnegative self-adjoint extensions of nonnegative symmetric operators ⋮ Point interactions in a line and the Riesz bases of \(\delta\)-functions

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