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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 : | , , |
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| 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 : |
| Résumé : | 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. |
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| Notes : | "November 2022, volume 280, number 1380 (third of 8 numbers)" |
| Bibliographie : | Bibliogr. p. 89-90 |
| ISBN : | 978-1-4704-5421-0 |