Schrödinger operators on star graphs with singularly scaled potentials supported near the vertices

DOI10.1063/1.4769425zbMath1278.81097arXiv1206.1263OpenAlexW2091496045MaRDI QIDQ2872409

Stepan S. Manko

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1206.1263

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

Conditions for realizing one-point interactions from a multi-layer structure model ⋮ Kreı̆n Formula and Convergence of Hamiltonians with Scaled Potentials in Dimension One ⋮ 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 ⋮ Scale invariant effective Hamiltonians for a graph with a small compact core ⋮ Families of one-point interactions resulting from the squeezing limit of the sum of two- and three-delta-like potentials

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