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Adiabatic evolution and shape resonances
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...
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| Auteurs principaux : | , , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Adiabatic evolution and shape resonances / Michael Hitrik, Andrea Mantile, Johannes Sjöstrand |
| Publié : |
Providence (R.I.) :
American Mathematical Society
, 2022 |
| Description matérielle : | 1 vol. (V-90 p.) |
| Collection : | Memoirs of the American Mathematical Society ; 1380 |
| Sujets : |
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| 200 | 1 | |a Adiabatic evolution and shape resonances |f Michael Hitrik, Andrea Mantile, Johannes Sjöstrand | |
| 214 | 0 | |a Providence (R.I.) |c American Mathematical Society |d 2022 | |
| 215 | |a 1 vol. (V-90 p.) |d 26 cm | ||
| 225 | 0 | |a Memoirs of the American Mathematical Society |v number 1380 | |
| 300 | |a "November 2022, volume 280, number 1380 (third of 8 numbers)" | ||
| 320 | |a Bibliogr. p. 89-90 | ||
| 330 | |a 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. |2 résumé des auteurs | ||
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