Existence and non-existence results for wave operators for perturbations of the laplacian

Jensen, A.; Ozawa, T.

Hokkaido University Preprint Series in Mathematics, 1993, 188, 1-30

Permalink : https://doi.org/10.14943/83332

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アクセス権	open access
DOI	https://doi.org/10.14943/83332
URI	https://hdl.handle.net/2115/68934
タイトル	Existence and non-existence results for wave operators for perturbations of the laplacian
著者	著者名 Jensen, A.
著者	著者名 Ozawa, T.
言語	英語
発行日	1993-03
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	188
ページ	1-30
抄録	Schrodinger operators with time-dependent potentials are studied. Necessary and sufficient conditions for existence of ordinary and Dollard-type modified wave operators are obtained. Sharp results for potentials with a specified leading term are obtained. Applications are given to the surfboard Schrodinger equation and to Stark Hamiltonians. In the latter case the discrepancy between classical and quantum scattering in dimension one is resolved.
資源タイプ	紀要論文
出版タイプ	Version of Record