Leaky quantum graphs: approximations by point-interaction Hamiltonians
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Publication:4458129
DOI10.1088/0305-4470/36/40/004zbMath1116.81312arXivmath-ph/0306033OpenAlexW2063332019MaRDI QIDQ4458129
Publication date: 17 March 2004
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0306033
Related Items (15)
Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces ⋮ Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces ⋮ On Schrödinger operators with δ′-potentials supported on star graphs ⋮ On the bound states of Schrödinger operators with δ-interactions on conical surfaces ⋮ Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces ⋮ Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3 ⋮ Leaky quantum structures ⋮ Cryptohermitian Hamiltonians on graphs. II: Hermitizations ⋮ On the existence of bound states in asymmetric leaky wires ⋮ Spectral transitions for Aharonov-Bohm Laplacians on conical layers ⋮ Estimates for the lowest eigenvalue of a star graph ⋮ Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods ⋮ Optimization of the lowest eigenvalue for leaky star graphs ⋮ On the spectrum of curved planar waveguides ⋮ An isoperimetric problem for leaky loops and related mean-chord inequalities
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