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Spectral asymptotics of a strong $\delta'$ interaction on a planar loop

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Publication:2848011
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zbMath1273.81088arXiv1304.7696MaRDI QIDQ2848011

Michal Jex, Pavel Exner

Publication date: 25 September 2013

Full work available at URL: https://arxiv.org/abs/1304.7696



Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)


Related Items (7)

Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions ⋮ Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ Trace Hardy inequality for the Euclidean space with a cut and its applications ⋮ On the eigenvalues of quantum graph Laplacians with large complex \(\delta\) couplings ⋮ On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2 ⋮ Spectral asymptotics of a strong \(\delta'\) interaction supported by a surface




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