The approximation of the Schrödinger operators with penetrable wall potentials in terms of short range Hamiltonians
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Publication:1210071
DOI10.1215/KJM/1250519494zbMath0776.35044OpenAlexW1509223670MaRDI QIDQ1210071
Publication date: 16 May 1993
Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/kjm/1250519494
Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operator approximation theory (47A58)
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Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces ⋮ 2D Schrödinger operators with singular potentials concentrated near curves ⋮ Regular potential approximation for \(\delta\)-perturbation supported by curve of the Laplace-Beltrami operator on the sphere ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Short-range potential and a model of operator extension theory for resonators with semitransparent boundary
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