The Lax--Phillips scattering approach and singular perturbation of Schrödinger operator homogeneous with respect to scaling transformations

DOI10.1215/kjm/1250281990zbMath1101.47007OpenAlexW1574780665MaRDI QIDQ818027

Uliya Moskalyova, Sergei Kuzhel

Publication date: 23 March 2006

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250281990

zbMATH Keywords

Schrödinger operatorsingular perturbationswave operatorsself-adjoint extensionsLax-Phillips scattering theory

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Linear symmetric and selfadjoint operators (unbounded) (47B25) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

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