On certain high-order partial differential expressions with δ-potential

DOI10.1080/10652469.2010.541035zbMath1238.46028OpenAlexW2005280722MaRDI QIDQ3015093

Anatolij Antonevich

Publication date: 8 July 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.541035

zbMATH Keywords

resonanceself-adjoint extensionresolvent convergencemultiplication of distributionsrank-one perturbationoperators with \(\delta \)-potential

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Operations with distributions and generalized functions (46F10) General mathematical topics and methods in quantum theory (81Q99) General integral transforms (44A05)

Cites Work

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• Rank one perturbations at infinite coupling
• Equations with δ-shaped coefficients: the finite-dimensional perturbations approach
• Perturbations of the Schrödinger equation by potentials with small support

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