Perturbation of threshold of the essential spectrum of the Schrödinger operator on the simplest graph with a small edge

DOI10.1007/s10958-019-04302-0zbMath1426.34039OpenAlexW2941101540MaRDI QIDQ2314291

M. N. Konyrkulzhaeva, Denis I. Borisov

Publication date: 22 July 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04302-0

zbMATH Keywords

resolventgrapheigenvaluesSchrödinger operatorthreshold of the essential spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Resolvent of a Schrödinger operator on a model graph with small loops ⋮ On a model graph with a loop and small edges. Holomorphy property of resolvent ⋮ On discrete spectrum of a model graph with loop and small edges ⋮ Analyticity of resolvents of elliptic operators on quantum graphs with small edges ⋮ Taylor series for resolvents of operators on graphs with small edges

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