On a variant of abstract scattering theory in terms of quadratic forms

DOI10.1016/S0034-4877(04)80022-3zbMath1069.47010OpenAlexW1985995477MaRDI QIDQ1774451

Volodymyr Koshmanenko, Sergei Kuzhel, Sergio A. Albeverio

Publication date: 9 May 2005

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(04)80022-3

zbMATH Keywords

scatteringsingular perturbationsquadratic forms

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Inverse scattering problems in quantum theory (81U40) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Cites Work

• Scattering theory with different state spaces of perturbed and free system
• Structure of the general solution of the inverse scattering problem in an abstract formulation
• On the inverse problem of a dissipative scattering theory. II
• Perturbation of differential operators on high-codimension manifold and the extension theory for symmetric linear relations in an indefinite metric space
• \({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein's resolvent formula
• Scattering theory with two Hilbert spaces
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