On the limiting behaviour of the spectra of a family of differential operators

DOI10.1088/0305-4470/39/33/015zbMath1105.35064OpenAlexW2002814032MaRDI QIDQ5485535

Michael Solomyak

Publication date: 30 August 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/33/015

zbMATH Keywords

Schrödinger operatormetric graphquantum graphisolated eigenvalueasymptotic behavior of the eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Distance in graphs (05C12)

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Spectral and resonance properties of the Smilansky Hamiltonian ⋮ A magnetic version of the Smilansky–Solomyak model ⋮ Smilansky-Solomyak model with a \(\delta^\prime\)-interaction ⋮ A regular analogue of the Smilansky model: spectral properties ⋮ On the mathematical work of Mikhail Zakharovich Solomyak ⋮ Schrödinger Operators with a Switching Effect

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