Computing scattering resonances

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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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:	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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