Finitely many δ interactions with supports on concentric spheres

DOI10.1063/1.528005zbMath0658.47026OpenAlexW1981420587MaRDI QIDQ3806231

J. Shabani

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528005

zbMATH Keywords

self-adjoint extensions of symmetric operatorsnorm resolvent limit of a family of local scaled short-range Hamiltoniansquantum Hamiltonian describing a finite number of \(\delta \) interactions with supports on concentric spheres

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dilations, extensions, compressions of linear operators (47A20) Miscellaneous applications of functional analysis (46N99)

Related Items (13)

Exactly solvable models of δ′-sphere interactions in nonrelativistic quantum mechanics ⋮ Dirac operators with a spherically symmetric δ-shell interaction ⋮ Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces ⋮ Scattering theory for finitely many sphere interactions supported by concentric spheres ⋮ Finitely many sphere interactions in quantum mechanics: Nonseparated boundary conditions ⋮ Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3 ⋮ Resonance asymptotics in the generalized Winter model ⋮ Spherical Schrödinger operators with δ-type interactions ⋮ Relativistic scattering theory for a δ sphere plus a Coulomb interaction with boundary conditions of second type ⋮ Exactly solvable models of δ′-sphere interactions in relativistic quantum mechanics ⋮ Relativistic scattering theory for finitely many δ-sphere interactions supported by concentric spheres ⋮ Three-dimensional scattering and the Heisenberg inequality ⋮ Scattering theory for \(2N\) parameter models of finitely many relativistic \(\delta\)-sphere and \(\delta\)-sphere plus Coulomb interactions supported by concentric spheres in quantum mechanics

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