Finitely many sphere interactions in quantum mechanics: Nonseparated boundary conditions

DOI10.1063/1.528153zbMath0657.46058OpenAlexW1994142268MaRDI QIDQ3805307

J. Shabani, Ludwik Dąbrowski

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528153

zbMATH Keywords

self-adjoint extensionsdeficiency indicesclosed symmetric operatornorm-resolvent limits of momentum cutoff and scaled separable potentialsquantum Hamiltonian describing concentric \(\delta\)- and \(\delta \) '- sphere interactions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) 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 (8)

Exactly solvable models of δ′-sphere interactions in nonrelativistic quantum mechanics ⋮ Dirac operators with a spherically symmetric δ-shell interaction ⋮ Scattering theory for finitely many sphere interactions supported by concentric spheres ⋮ 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 ⋮ 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 ⋮ Asymptotics of eigenvalues of the Schrödinger operator with a strong \(\delta\)-interaction on a loop

Cites Work

• On nonlocal point interactions in one, two, and three dimensions
• Finitely many δ interactions with supports on concentric spheres

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