Resolvent convergence of sphere interactions to point interactions

DOI10.1063/1.1533834zbMath1061.81025OpenAlexW2044038056MaRDI QIDQ4832926

Shin-ichi Shimada

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1533834

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)

Related Items

On the origin of Minnaert resonances ⋮ Inverse wave scattering in the time domain for point scatterers

Cites Work

• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Relativistic scattering theory for finitely many δ-sphere interactions supported by concentric spheres
• Exactly solvable models of δ′-sphere interactions in nonrelativistic quantum mechanics

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