Quantum graphs: Coulomb-type potentials and exactly solvable models
DOI10.1007/s00023-023-01270-9zbMath1527.81056arXiv2207.10403OpenAlexW4317581849MaRDI QIDQ6114479
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Publication date: 12 July 2023
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.10403
Schrödinger operatorCoulomb potentialpoint interactionquantum graphsolvable model\(\delta'\)-potentialvertex coupling condition
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Electromagnetic theory (general) (78A25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)
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