On δ′-like potential scattering on star graphs
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Publication:3060116
DOI10.1088/1751-8113/43/44/445304zbMath1202.81201arXiv1007.0398OpenAlexW2003391133MaRDI QIDQ3060116
Publication date: 1 December 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.0398
Sturm-Liouville theory (34B24) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Conditions for realizing one-point interactions from a multi-layer structure model ⋮ Quantum graphs: Coulomb-type potentials and exactly solvable models ⋮ 1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials ⋮ INTRINSIC RESONANT TUNNELING PROPERTIES OF THE ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH A DELTA DERIVATIVE POTENTIAL ⋮ Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions ⋮ Controllable resonant tunnelling through single-point potentials: a point triode ⋮ Hidden symmetries in non-self-adjoint graphs ⋮ Schrödinger operators on star graphs with singularly scaled potentials supported near the vertices ⋮ Families of one-point interactions resulting from the squeezing limit of the sum of two- and three-delta-like potentials
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