Convergence of Schrödinger Operators

DOI10.1137/060651598zbMath1131.81004arXivmath-ph/0511029OpenAlexW2137978398MaRDI QIDQ5444275

Johannes F. Brasche, Katerina Ozanová

Publication date: 25 February 2008

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0511029

zbMATH Keywords

eigenvalueeigenfunctionpoint interactionsingular Schrödinger operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (6)

Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3 ⋮ Leaky quantum structures ⋮ Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods ⋮ An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain

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