Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices

DOI10.1080/00036811.2017.1419201zbMath1412.81142OpenAlexW2780004266MaRDI QIDQ4628953

Miguel Maldonado Rosas, Víctor Barrera-Figueroa, Vladimir S. Rabinovich

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1080/00036811.2017.1419201

zbMATH Keywords

dispersion equationlimit operators methodperiodic quantum graphsslowly oscillating at infinity potentialspectral parameter power series (SPPS) method

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Dispersion theory, dispersion relations arising in quantum theory (81U30) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (4)

On the calculation of the discrete spectra of one‐dimensional Dirac operators ⋮ Parameter dependent differential operators on graphs and their applications ⋮ Spectral parameter power series representation for solutions of linear system of two first order differential equations ⋮ A power series analysis of bound and resonance states of one-dimensional Schrödinger operators with finite point interactions

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