Relativistic scattering theory for finitely many δ-sphere interactions supported by concentric spheres

DOI10.1063/1.533207zbMath0977.81161OpenAlexW1988704666MaRDI QIDQ2737897

Mahouton Norbert Hounkonnou, Gabriel Y. H. Avossevou

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533207

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05)

Related Items (3)

A note on a series of papers on relativistic δ-sphere interactions in quantum mechanics published by M. N. Hounkonnou and G. Y. H. Avossevou in the Journal of Mathematical Physics ⋮ Resolvent convergence of sphere interactions to point interactions ⋮ Spectral and resonance properties of δ- and δ′-type interactions in relativistic quantum mechanics

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)
• Exactly solvable models of δ′-sphere interactions in nonrelativistic quantum mechanics
• Scattering theory for finitely many sphere interactions supported by concentric spheres

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