Exactly solvable models of δ′-sphere interactions in nonrelativistic quantum mechanics

DOI10.1063/1.532964zbMath0964.81061OpenAlexW1506043009MaRDI QIDQ4270419

M. Hounkpe, J. Shabani, Mahouton Norbert Hounkonnou

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532964

zbMATH Keywords

interactionsstationary scattering theory\(\delta\)' plus a Coulomb interactionfinitely many \(\delta\)'-sphere

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (5)

Resolvent convergence of sphere interactions to point interactions ⋮ Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity ⋮ Exactly solvable models of δ′-sphere interactions in relativistic quantum mechanics ⋮ Relativistic scattering theory for finitely many δ-sphere interactions supported by concentric spheres ⋮ Spectral and resonance properties of δ- and δ′-type interactions in relativistic quantum mechanics

Cites Work

• A mathematical model of heavy-quarkonia mesonic decays
• The Schrödinger operator with a penetrable wall interaction
• Dirac operators with a spherically symmetric δ-shell interaction
• Finitely many sphere interactions in quantum mechanics: Nonseparated boundary conditions
• Finitely many δ interactions with supports on concentric spheres
• Dirac Hamiltonian with Coulomb potential and spherically symmetric shell contact interactiona)
• Scattering theory for finitely many sphere interactions supported by concentric spheres

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