Scattering theory with both regular and singular perturbations

DOI10.4171/jst/467arXiv2208.03106OpenAlexW4388978327MaRDI QIDQ6146943

Andrea Posilicano, Andrea Mantile

Publication date: 31 January 2024

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.03106

zbMATH Keywords

scattering theoryasymptotic completeness

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Scattering theory of linear operators (47A40) Operators arising in mathematical physics (47B93)

Cites Work

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• Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces
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• Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces
• Asymptotic completeness and S-matrix for singular perturbations
• Scattering matrices and Dirichlet-to-Neumann maps
• An interpolation inequality in exterior domains
• Scattering matrices and Weyl functions of quasi boundary triples
• A Krein-like formula for singular perturbations of self-adjoint operators and applications
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