Time dependent representations of the stationary wave operators for oscillating long-range potentials
DOI10.2977/prims/1195183288zbMath0549.47003OpenAlexW2086449730MaRDI QIDQ800609
Kiyoshi Mochizuki, Jun Uchiyama
Publication date: 1982
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/1195183288
spectral projectionspectral representationstationary phase methodeikonal inequalitymodified wave operators\(L^ 2\)-boundedness of pseudo-differential operatorsoscillating long-range potentialsshort-range parttime dependent representations of the stationary wave operatorstime-independent method
Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Scattering theory of linear operators (47A40)
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Cites Work
- Radiation conditions and spectral theory for 2-body Schrödinger operators with oscillating long-range potentials. II: Spectral representation
- A stationary approach to the existence and completeness of long-range wave operators
- The existence of wave operators in scattering theory
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- Radiation conditions and spectral theory for 2-body Schrödinger operators with oscillating long-range potentials. I: The principle of limiting absorption
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