Completeness of modified wave operators for long-range potentials

DOI10.2977/prims/1195187871zbMath0432.35061OpenAlexW2068299699MaRDI QIDQ1138724

Teruo Ikebe, Hiroshi Isozaki

Publication date: 1979

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195187871

zbMATH Keywords

Schrödinger operatorscompletenessapproximate solutioneigenfunction expansionasymptotic conditionwave operatorsFourier transformationoperator of multiplicationlong-range potentialsabsolutely continuous subspace

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Scattering theory of linear operators (47A40)

Related Items

Unnamed Item, Spectral properties of vaguely elliptic pseudodifferential operators with momentum-dependent long-range potentials using time-dependent scattering theory, Propagation of states in dilation analytic potentials and asymptotic completeness, A stationary approach to the existence and completeness of long-range wave operators, Schrödinger semigroups, Phase shifts and the modified and Møller wave operatos, Micro-local resolvent estimates for 2-body Schrödinger operators

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