Graph-like asymptotics for the Dirichlet Laplacian in connected tubular domains

DOI10.19272/201712501002zbMath1423.81081arXiv1102.3767MaRDI QIDQ5241439

Claudio Cacciapuoti

Publication date: 31 October 2019

Full work available at URL: https://arxiv.org/abs/1102.3767

Mathematics Subject Classification ID

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) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (3)

Spectrum of the Dirichlet Laplacian in a thin cubic lattice ⋮ Kreı̆n Formula and Convergence of Hamiltonians with Scaled Potentials in Dimension One ⋮ Scale invariant effective Hamiltonians for a graph with a small compact core

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