The operator extension theory, semitransparent surface and short range potential

DOI10.1017/S0305004100073862zbMath0845.47007OpenAlexW2160472047MaRDI QIDQ4877636

Igor Yu. Popov

Publication date: 18 September 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100073862

zbMATH Keywords

operator extensionssemitransparent boundarylimit of the short range Hamiltonians in the norm resolvent sensesolvable model of a quantum dot as a resonator

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator theory in the physical sciences (47N50) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces ⋮ Operator extension theory models for periodic array of quantum dots and double quantum layer in a magnetic field ⋮ Resonances for Laplacian perturbed on surface and cell membrane model ⋮ 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 ⋮ On a hyperstokeslet

Cites Work

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• The extension theory and the opening in semitransparent surface
• The resonator with narrow slit and the model based on the operator extensions theory

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