|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Existence and non-existence results for wave operators for perturbations of the laplacian
| Title: | Existence and non-existence results for wave operators for perturbations of the laplacian |
| Authors: | Jensen, A. Browse this author | | Ozawa, T. Browse this author |
| Issue Date: | Mar-1993 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 188 |
| Start Page: | 1 |
| End Page: | 30 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68934 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|
