On the existence of point spectrum for branching strips quantum graph

DOI10.1063/1.4867604zbMath1286.81094OpenAlexW1978769028MaRDI QIDQ5414800

Irina V. Blinova, A. N. Skorynina, Igor Yu. Popov

Publication date: 7 May 2014

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

Full work available at URL: https://doi.org/10.1063/1.4867604

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Statistical mechanics of nanostructures and nanoparticles (82D80)

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Electron energy spectrum for a bent chain of nanospheres ⋮ Classical and quantum wave dynamics on time-dependent geometric graph ⋮ Spectral problem for solvable model of bent nano peapod ⋮ Transmission conditions in one-dimensional model of a rectangular lattice of thin quantum waveguides ⋮ Existence of eigenvalues embedded in the spectral bands of Schrödinger operators on carbon nanotubes with impurities ⋮ Model of a saccular aneurysm of the bifurcation node of an artery ⋮ On Molchanov's condition for the spectrum discreteness of a quantum graph Hamiltonian with \(\delta\)-coupling

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