On the break-down of completeness of wave operators in potential scattering

DOI10.1007/BF01225147zbMath0401.47006OpenAlexW2011889619MaRDI QIDQ1255211

Dimitri Yafaev

Publication date: 1979

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01225147

zbMATH Keywords

Wave OperatorsContinuous SpectrumMultichannel

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items

Scattering for Schrödinger operators with potentials concentrated near a subspace, New channels of scattering for three-body quantum systems with long-range potentials, Counterexample to the Laptev-Safronov conjecture, Scattering on a line. I: Existence of wave operators and asymptotic completeness in the periodic case, New criterion for existence and completeness of wave operators and applications to scattering by unbounded obstacles, Remarks on the spectral theory for the multiparticle-type Schrödinger operator

Cites Work

• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• The abstract theory of scattering
• Unnamed Item