Scattering theory for finitely many sphere interactions supported by concentric spheres

DOI10.1063/1.532022zbMath0906.47009OpenAlexW2057072867MaRDI QIDQ4345142

Mahouton Norbert Hounkonnou, M. Hounkpe, J. Shabani

Publication date: 11 November 1998

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

Full work available at URL: https://doi.org/10.1063/1.532022

zbMATH Keywords

scattering theoryscattering matricessingular potentialsscattering of a nonrelativistic particle by finitely many spheres

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (n)-body potential quantum scattering theory (81U10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory of linear operators (47A40)

Related Items (5)

Exactly solvable models of δ′-sphere interactions in nonrelativistic quantum mechanics ⋮ von Neumann Quantization of Aharonov-Bohm Operator with Interaction: Scattering Theory, Spectral and Resonance Properties ⋮ 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

Cites Work

• Some remarks on the \(\delta\) '-interaction in one dimension
• 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)

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