Adiabatic evolution and shape resonances / Michael Hitrik, Andrea Mantile, Johannes Sjöstrand.
| Author/creator | Hitrik, Michael |
| Other author | Mantile, Andrea. |
| Other author | Sjöstrand, J. (Johannes) |
| Format | Electronic |
| Publication Info | Providence, RI : American Mathematical Society, 2022. |
| Description | v, 90 pages : illustrations ; 26 cm |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; Volume 280, Number 1380 |
| Abstract | "Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter with ln , where h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length N with an error O(). Here N 0 is arbitrary"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 89-90). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2022048356 |
| ISBN | 9781470454210 (paperback) |
| ISBN | (epub) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |