Computing scattering resonances
Jonathan Ben-Artzi
Cardiff University, UKMarco Marletta
Cardiff University, UKFrank Rösler
Cardiff University, UK
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Abstract
The question of whether it is possible to compute scattering resonances of Schrödinger operators – independently of the particular potential – is addressed. A positive answer is given, with the potential merely required to be 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.
Cite this article
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler, Computing scattering resonances. J. Eur. Math. Soc. 25 (2023), no. 9, pp. 3633–3663
DOI 10.4171/JEMS/1258