| Autor: |
Higuchi, Kenta |
| Jazyk: |
English<br />French |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Comptes Rendus. Mathématique, Vol 359, Iss 6, Pp 657-663 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
1778-3569 |
| DOI: |
10.5802/crmath.209 |
| Popis: |
We consider a $2\times 2$ system of one-dimensional semiclassical Schrödinger operators with small interactions with respect to the semiclassical parameter $h$. We study the asymptotics in the semiclassical limit of the resonances near a non-trapping energy for both corresponding classical Hamiltonians. We show the existence of resonances of width $T^{-1}h\log (1/h)$, contrary to the scalar case, under the condition that two classical trajectories cross and compose a periodic trajectory with period $T$. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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