Asymptotic completeness and S-matrix for singular perturbations

DOI10.1016/j.matpur.2019.01.017OpenAlexW3105809894WikidataQ128544573 ScholiaQ128544573MaRDI QIDQ2274097

Andrea Mantile, Andrea Posilicano

Publication date: 19 September 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07556

zbMATH Keywords

scattering matrixself-adjoint extensions of symmetric operatorsabstract scattering theory

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (12)

Optimization of the lowest eigenvalue of a soft quantum ring ⋮ On the origin of Minnaert resonances ⋮ Scattering theory with both regular and singular perturbations ⋮ Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions ⋮ On the self-adjointness of \(H+A^*+A\) ⋮ Inverse wave scattering in the Laplace domain: A factorization method approach ⋮ Scattering of particles bounded to an infinite planar curve ⋮ Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles ⋮ Inverse scattering for the Laplace operator with boundary conditions on Lipschitz surfaces ⋮ Unnamed Item ⋮ On quasi-Herglotz functions in one variable ⋮ Inverse wave scattering in the time domain for point scatterers

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