Spectral representation for Schrödinger operators with long-range potentials. II: Perturbation by short-range potentials

DOI10.2977/prims/1195191477zbMath0345.35032OpenAlexW2061164139MaRDI QIDQ1233137

Teruo Ikebe

Publication date: 1976

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/1195191477

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Perturbation theory of linear operators (47A55) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items

Unnamed Item ⋮ Asymptotic completeness in long range scattering. II ⋮ Existence of outgoing solutions for perturbations of and applications to the scattering matrix ⋮ On the long-range stationary wave operator ⋮ Eigenfunction expansions associated with the Schrödinger operators with long-range potentials ⋮ 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

Cites Work

• Spectral representation for Schrödinger operators with long-range potentials
• The abstract theory of scattering
• Limiting absorption method and absolute continuity for the Schrödinger operator