Schrödinger operators on half-line with shrinking potentials at the origin

DOI10.3233/ASY-151349zbMath1342.81121OpenAlexW1544947537MaRDI QIDQ2816228

Gianfausto Dell'Antonio, Alessandro Michelangeli

Publication date: 4 July 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-151349

zbMATH Keywords

self-adjoint boundary conditionspoint interactionresolvent convergenceKonno-Kuroda resolvent formulasingular scaling limits in Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• Schrödinger particle on a half line
• Electronic energy spectrum of two-dimensional solids and a chain of C atoms from a quantum network model
• Norm resolvent convergence of singularly scaled Schrödinger operators and δ′-potentials
• Kirchhoff's rule for quantum wires
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