Scale invariant effective Hamiltonians for a graph with a small compact core

DOI10.3390/sym11030359zbMath1423.81082arXiv1903.01898OpenAlexW2919728850WikidataQ114025988 ScholiaQ114025988MaRDI QIDQ2335048

Claudio Cacciapuoti

Publication date: 13 November 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01898

zbMATH Keywords

scaling limitpoint interactionsmetric graphsKreĭn formula

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Asymptotic behaviour for local and nonlocal evolution equations on metric graphs with some edges of infinite length ⋮ Exotic eigenvalues and analytic resolvent for a graph with a shrinking edge ⋮ Resolvent of a Schrödinger operator on a model graph with small loops ⋮ Exotic eigenvalues of shrinking metric graphs ⋮ On the hot spots of quantum graphs ⋮ On discrete spectrum of a model graph with loop and small edges ⋮ Quantum graphs with small edges: holomorphy of resolvents ⋮ Limits of quantum graph operators with shrinking edges ⋮ Analyticity of resolvents of elliptic operators on quantum graphs with small edges ⋮ Approximations of metric graphs by thick graphs and their Laplacians ⋮ Taylor series for resolvents of operators on graphs with small edges

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