Ben-Artzi, Jonathan  ORCID: https://orcid.org/0000-0001-6184-9313, Marletta, Marco ORCID: https://orcid.org/0000-0003-1546-4046 and Rosler, Frank
2023.
Computing scattering resonances.
Journal of the European Mathematical Society
25
(9)
, pp. 3633-3663.
10.4171/JEMS/1258
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Official URL: https://doi.org/10.4171/JEMS/1258
Abstract
The question of whether it is possible to compute scattering resonances of Schr\"odinger operators -- independently of the particular potential -- is addressed. A positive answer is given, with the potential merely required to be $\mathcal{C}^1$ and have compact support. The proof is constructive, providing a universal algorithm which only needs to access the values of the potential at any requested point. Numerical examples are provided and compared with known results.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | European Mathematical Society |
| ISSN: | 1435-9855 |
| Funders: | EPSRC, European Council |
| Date of First Compliant Deposit: | 1 April 2022 |
| Date of Acceptance: | 24 March 2022 |
| Last Modified: | 13 Sep 2023 02:02 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/148632 |
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