An approximation to couplings on graphs
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Publication:3158713
DOI10.1088/0305-4470/37/29/L01zbMath1062.81017arXivquant-ph/0404136MaRDI QIDQ3158713
Publication date: 31 January 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0404136
Related Items (16)
Approximation of a general singular vertex coupling in quantum graphs ⋮ A general approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds ⋮ Two-parametric ${\delta'}$ -interactions: approximation by Schrödinger operators with localized rank-two perturbations ⋮ Quantum graphs: Coulomb-type potentials and exactly solvable models ⋮ Quantum abacus ⋮ Tripartite connection condition for a quantum graph vertex ⋮ The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions ⋮ Kreı̆n Formula and Convergence of Hamiltonians with Scaled Potentials in Dimension One ⋮ APPROXIMATIONS OF SINGULAR VERTEX COUPLINGS IN QUANTUM GRAPHS ⋮ The von Neumann way to treat systems of mixed dimensionality ⋮ Schrödinger operators with singular rank-two perturbations and point interactions ⋮ Spectral theory of infinite quantum graphs ⋮ Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures ⋮ Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph ⋮ Traces for Sturm-Liouville operators with frozen argument on star graphs ⋮ Dynamical and variational properties of the NLS-\( \delta'_s\) equation on the star graph
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