Ben-Artzi, Jonathan ![]() ![]() ![]() |
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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 |
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Date Type: | Publication |
Status: | Published |
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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